library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.0.4
library(ggplot2)
library(ggcorrplot)
library(knitr) # contains kable() function
library(partykit)
## Warning: package 'partykit' was built under R version 4.0.4
## Warning: package 'libcoin' was built under R version 4.0.4
library(caret)
library(rpart)
library(randomForest)
## Warning: package 'randomForest' was built under R version 4.0.4
library(pROC)
library(leaps)
library(glmnet)
library(gbm)
## Warning: package 'gbm' was built under R version 4.0.4
library(gam)
library(splines)
library(plyr)
set.seed(95791)
Be sure to set working directory to source file location
#bring in housing data
housing <- read.csv(file = "AmesHousing.csv", header = TRUE)
if (sum(is.na(housing)) >0) {
DNE.Cols = c(74,75,76,32,33,34,35,37,8,59,65,66,62,60,29,30)
zero.Cols = c(3, 5, 49,50,61,63,64,28)
zero.Cols.alt = c(36,38,39,40) #These are all from one record (1342). Maybe just omit the record?
catchall.cols = seq(1, 82, by=1)
for (i in DNE.Cols){
housing[[i]][is.na(housing[[i]]) | housing[[i]] == ""] = "DNE" # These are stored as "", not NA, so it's not picking them up
}
for (i in zero.Cols){
housing[[i]][is.na(housing[[i]])] = 0
}
for (i in zero.Cols.alt){
housing[[i]][is.na(housing[[i]])] = 0
}
sum(is.na(housing)) #Verify NAs are removed
}
## [1] 0
NA.Cols.Check = tryCatch( sum(is.na(housing))==0,
error = list(errormessage = print("Error: Manually Adding Cols"),
colerrors = print(housing[, colSums(is.na(housing)) > 0]),
rowerrors = print(housing[rowSums(is.na(housing)) > 0,])))
## [1] "Error: Manually Adding Cols"
## data frame with 0 columns and 2930 rows
## [1] ï..Order PID MS.SubClass MS.Zoning
## [5] Lot.Frontage Lot.Area Street Alley
## [9] Lot.Shape Land.Contour Utilities Lot.Config
## [13] Land.Slope Neighborhood Condition.1 Condition.2
## [17] Bldg.Type House.Style Overall.Qual Overall.Cond
## [21] Year.Built Year.Remod.Add Roof.Style Roof.Matl
## [25] Exterior.1st Exterior.2nd Mas.Vnr.Type Mas.Vnr.Area
## [29] Exter.Qual Exter.Cond Foundation Bsmt.Qual
## [33] Bsmt.Cond Bsmt.Exposure BsmtFin.Type.1 BsmtFin.SF.1
## [37] BsmtFin.Type.2 BsmtFin.SF.2 Bsmt.Unf.SF Total.Bsmt.SF
## [41] Heating Heating.QC Central.Air Electrical
## [45] X1st.Flr.SF X2nd.Flr.SF Low.Qual.Fin.SF Gr.Liv.Area
## [49] Bsmt.Full.Bath Bsmt.Half.Bath Full.Bath Half.Bath
## [53] Bedroom.AbvGr Kitchen.AbvGr Kitchen.Qual TotRms.AbvGrd
## [57] Functional Fireplaces Fireplace.Qu Garage.Type
## [61] Garage.Yr.Blt Garage.Finish Garage.Cars Garage.Area
## [65] Garage.Qual Garage.Cond Paved.Drive Wood.Deck.SF
## [69] Open.Porch.SF Enclosed.Porch X3Ssn.Porch Screen.Porch
## [73] Pool.Area Pool.QC Fence Misc.Feature
## [77] Misc.Val Mo.Sold Yr.Sold Sale.Type
## [81] Sale.Condition SalePrice
## <0 rows> (or 0-length row.names)
housing.factors <- housing
housing.factors$Exter.Cond <- factor(housing.factors$Exter.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Exter.Qual <- factor(housing.factors$Exter.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Bsmt.Qual <- factor(housing.factors$Bsmt.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Bsmt.Cond <- factor(housing.factors$Bsmt.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Kitchen.Qual <- factor(housing.factors$Kitchen.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Fireplace.Qu <- factor(housing.factors$Fireplace.Qu, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Garage.Cond <- factor(housing.factors$Garage.Cond, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Garage.Qual <- factor(housing.factors$Garage.Qual, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Pool.QC <- factor(housing.factors$Pool.QC, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$Heating.QC <- factor(housing.factors$Heating.QC, levels = c('DNE', 'Po', 'Fa', 'TA', 'Gd', 'Ex'))
housing.factors$BsmtFin.Type.1 <- factor(housing.factors$BsmtFin.Type.1, levels = c('DNE', 'Unf', 'LwQ', 'Rec', 'BLQ', 'ALQ', 'GLQ'))
housing.factors$BsmtFin.Type.2 <- factor(housing.factors$BsmtFin.Type.2, levels = c('DNE', 'Unf', 'LwQ', 'Rec', 'BLQ', 'ALQ', 'GLQ'))
housing.factors$MS.SubClass <- factor(housing.factors$MS.SubClass , levels = c(20, 30, 40, 45, 50, 60, 70, 75, 80, 85, 90, 120, 150, 160, 180, 190))
# Print any columns with missing values
for(v in names(housing.factors)) {
n_na = sum(is.na(housing.factors[v]))
if(n_na > 0) {print(v); print(n_na)}
}
col.vector = seq(2, 81, by=1) #We do not need the iOrder or PID value
numeric.df <-housing[unlist(lapply(housing, is.numeric)) ]
numeric.cols <- numeric.df[,-1:-2]
numeric.cols.vec <- seq(1, ncol(numeric.cols)-1)
for (i in numeric.cols.vec){
plots<- qplot(data = housing, x = numeric.cols[,i], y = SalePrice,
xlab = paste(colnames(numeric.cols)[i]) , ylab = "SalePrice") + stat_smooth(method = "lm")
print(plots)
}
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
cor.housing.sales <- cor(numeric.df[,-1:-2])
ggcorrplot(cor.housing.sales)
(cor.housing.sales > 0.5 | cor.housing.sales < -0.5) & cor.housing.sales != 1
## MS.SubClass Lot.Frontage Lot.Area Overall.Qual Overall.Cond
## MS.SubClass FALSE FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE FALSE
## Overall.Qual FALSE FALSE FALSE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE TRUE FALSE
## Year.Remod.Add FALSE FALSE FALSE TRUE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE TRUE FALSE
## X1st.Flr.SF FALSE FALSE FALSE FALSE FALSE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE TRUE FALSE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE TRUE FALSE
## Half.Bath FALSE FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE TRUE FALSE
## Garage.Area FALSE FALSE FALSE TRUE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE FALSE
## SalePrice FALSE FALSE FALSE TRUE FALSE
## Year.Built Year.Remod.Add Mas.Vnr.Area BsmtFin.SF.1
## MS.SubClass FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE
## Overall.Qual TRUE TRUE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE
## Year.Built FALSE TRUE FALSE FALSE
## Year.Remod.Add TRUE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE TRUE
## X1st.Flr.SF FALSE FALSE FALSE FALSE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE FALSE
## Bsmt.Full.Bath FALSE FALSE FALSE TRUE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE FALSE
## Half.Bath FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE
## Garage.Cars TRUE FALSE FALSE FALSE
## Garage.Area FALSE FALSE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE
## SalePrice TRUE TRUE TRUE FALSE
## BsmtFin.SF.2 Bsmt.Unf.SF Total.Bsmt.SF X1st.Flr.SF X2nd.Flr.SF
## MS.SubClass FALSE FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE FALSE
## Overall.Qual FALSE FALSE TRUE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE FALSE FALSE
## Year.Remod.Add FALSE FALSE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE TRUE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE TRUE FALSE
## X1st.Flr.SF FALSE FALSE TRUE FALSE FALSE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE TRUE TRUE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE FALSE FALSE
## Half.Bath FALSE FALSE FALSE FALSE TRUE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE TRUE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE TRUE
## Fireplaces FALSE FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE FALSE FALSE
## Garage.Area FALSE FALSE FALSE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE FALSE
## SalePrice FALSE FALSE TRUE TRUE FALSE
## Low.Qual.Fin.SF Gr.Liv.Area Bsmt.Full.Bath Bsmt.Half.Bath
## MS.SubClass FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE
## Overall.Qual FALSE TRUE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE FALSE
## Year.Remod.Add FALSE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE TRUE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE FALSE
## X1st.Flr.SF FALSE TRUE FALSE FALSE
## X2nd.Flr.SF FALSE TRUE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE FALSE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE
## Full.Bath FALSE TRUE FALSE FALSE
## Half.Bath FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE TRUE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE TRUE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE FALSE
## Garage.Area FALSE FALSE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE
## SalePrice FALSE TRUE FALSE FALSE
## Full.Bath Half.Bath Bedroom.AbvGr Kitchen.AbvGr TotRms.AbvGrd
## MS.SubClass FALSE FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE FALSE
## Overall.Qual TRUE FALSE FALSE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE FALSE FALSE
## Year.Remod.Add FALSE FALSE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE FALSE FALSE
## X1st.Flr.SF FALSE FALSE FALSE FALSE FALSE
## X2nd.Flr.SF FALSE TRUE TRUE FALSE TRUE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE FALSE
## Gr.Liv.Area TRUE FALSE TRUE FALSE TRUE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE FALSE TRUE
## Half.Bath FALSE FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE TRUE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE FALSE
## TotRms.AbvGrd TRUE FALSE TRUE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE FALSE FALSE
## Garage.Area FALSE FALSE FALSE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE FALSE
## SalePrice TRUE FALSE FALSE FALSE FALSE
## Fireplaces Garage.Yr.Blt Garage.Cars Garage.Area Wood.Deck.SF
## MS.SubClass FALSE FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE FALSE
## Overall.Qual FALSE FALSE TRUE TRUE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE TRUE FALSE FALSE
## Year.Remod.Add FALSE FALSE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE FALSE FALSE
## X1st.Flr.SF FALSE FALSE FALSE FALSE FALSE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE FALSE FALSE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE FALSE FALSE
## Half.Bath FALSE FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE TRUE TRUE FALSE
## Garage.Cars FALSE TRUE FALSE TRUE FALSE
## Garage.Area FALSE TRUE TRUE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE FALSE
## SalePrice FALSE FALSE TRUE TRUE FALSE
## Open.Porch.SF Enclosed.Porch X3Ssn.Porch Screen.Porch Pool.Area
## MS.SubClass FALSE FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE FALSE
## Overall.Qual FALSE FALSE FALSE FALSE FALSE
## Overall.Cond FALSE FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE FALSE FALSE
## Year.Remod.Add FALSE FALSE FALSE FALSE FALSE
## Mas.Vnr.Area FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE FALSE FALSE
## X1st.Flr.SF FALSE FALSE FALSE FALSE FALSE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE FALSE FALSE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE FALSE FALSE
## Half.Bath FALSE FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE FALSE FALSE
## Garage.Area FALSE FALSE FALSE FALSE FALSE
## Wood.Deck.SF FALSE FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE FALSE
## SalePrice FALSE FALSE FALSE FALSE FALSE
## Misc.Val Mo.Sold Yr.Sold SalePrice
## MS.SubClass FALSE FALSE FALSE FALSE
## Lot.Frontage FALSE FALSE FALSE FALSE
## Lot.Area FALSE FALSE FALSE FALSE
## Overall.Qual FALSE FALSE FALSE TRUE
## Overall.Cond FALSE FALSE FALSE FALSE
## Year.Built FALSE FALSE FALSE TRUE
## Year.Remod.Add FALSE FALSE FALSE TRUE
## Mas.Vnr.Area FALSE FALSE FALSE TRUE
## BsmtFin.SF.1 FALSE FALSE FALSE FALSE
## BsmtFin.SF.2 FALSE FALSE FALSE FALSE
## Bsmt.Unf.SF FALSE FALSE FALSE FALSE
## Total.Bsmt.SF FALSE FALSE FALSE TRUE
## X1st.Flr.SF FALSE FALSE FALSE TRUE
## X2nd.Flr.SF FALSE FALSE FALSE FALSE
## Low.Qual.Fin.SF FALSE FALSE FALSE FALSE
## Gr.Liv.Area FALSE FALSE FALSE TRUE
## Bsmt.Full.Bath FALSE FALSE FALSE FALSE
## Bsmt.Half.Bath FALSE FALSE FALSE FALSE
## Full.Bath FALSE FALSE FALSE TRUE
## Half.Bath FALSE FALSE FALSE FALSE
## Bedroom.AbvGr FALSE FALSE FALSE FALSE
## Kitchen.AbvGr FALSE FALSE FALSE FALSE
## TotRms.AbvGrd FALSE FALSE FALSE FALSE
## Fireplaces FALSE FALSE FALSE FALSE
## Garage.Yr.Blt FALSE FALSE FALSE FALSE
## Garage.Cars FALSE FALSE FALSE TRUE
## Garage.Area FALSE FALSE FALSE TRUE
## Wood.Deck.SF FALSE FALSE FALSE FALSE
## Open.Porch.SF FALSE FALSE FALSE FALSE
## Enclosed.Porch FALSE FALSE FALSE FALSE
## X3Ssn.Porch FALSE FALSE FALSE FALSE
## Screen.Porch FALSE FALSE FALSE FALSE
## Pool.Area FALSE FALSE FALSE FALSE
## Misc.Val FALSE FALSE FALSE FALSE
## Mo.Sold FALSE FALSE FALSE FALSE
## Yr.Sold FALSE FALSE FALSE FALSE
## SalePrice FALSE FALSE FALSE FALSE
Once the dataset has been scrubbed, initial exploratory data analysis is conducted. The first analysis is looking at all numeric vectors in the dataset and checking to see if there are any correlations between variables.
Correlations:
Total.Bsmt.SF ~ X1st.Flr.SF (0.80)
Gr.Liv.Area ~ TotRms.AbvGrd (0.81)
Garage.Cars ~ Garage.Area (0.89)
The exploratory analysis shows that the SalePrice is strongly correlated with a number of variables, but some of these variables are correlated with each other, since they are measuring almost the same thing. These variables are looked at below. However, we see that a lot of predictors are indicative of SalePrice, and are positively correlated (corr >0.5) with our independent variable such as that of Overall Quality, Year Built, Year Remodeled, veneer area, Area of type1 basement (BasementSF2), areas of type2 basement (BasementSF2), Total basement area, First floor area, Ground floor living area, number of full bathrooms, and the garage area in terms of cars and square feet. We have to note however, these are all numeric variables.
By looking at the numeric variables, we can see some of the thing are correlated with each other. For example, the Overall Quality variable is correlated with all of our initial selection of variables (the ones with -0.5<corr<0.5) and it seems like this index was created by looking taking these other variables into account.
All the housing characteristics are highly correlated with each other, for example the area of the first floor is correlated with area of the basement and the living area. Which is expected since the house has the same area for each of these floors, the sq foot area can’t be different by much. The number of bathrooms is also correlated with the Living room area, which again is dependent on the size of the house itself, the larger the size (which can be roughly approximated by the living area since that is the largest area in a house) the more bathrooms required. It would be smart to just keep one measure of area at in our linear model.
The garage area and the garage cars are also highly correlated because they are measuring the same thing.
Year built and year remodeled do not have such a high correlation, and both are important variables.
qual.cols.vec <- c(29, 30, 32, 33, 42, 55, 59, 65, 66, 74)
for (i in qual.cols.vec){
boxplots <- qplot(data = housing.factors, x = housing.factors[,i], y = SalePrice, geom = "boxplot", xlab = paste(colnames(housing.factors)[i]))
print(boxplots)
}
qual.cols.vec <- c(3, 4, 7, 8 , 9 , 10, 11, 12, 13, 14, 15, 16, 17,
18, 23, 24, 25, 26, 27, 31, 35, 37, 41, 44, 57,
60, 62, 67, 75, 76, 80, 81)
for (i in qual.cols.vec){
boxplots <- qplot(data = housing.factors, x = housing.factors[,i], y = SalePrice, geom = "boxplot", xlab = paste(colnames(housing.factors)[i]))
print(boxplots)
}
#Note all variables that are used in models, so we can retain their box plots:
For our categorical variables, SalePrice is seen to be increasing (not checking if the increase is statistically significant just yet) across better quality/conditions of all our qualitative predictors. Although the increasing quality is seen to have a higher effect on SalePrice than the increasing conditions of these variables. Some examples are increasing SalePrice as Exterior Quality and Exterior condition, Basement Quality and Basement Conditions, Pool, kitchen, fireplace qualities go from Poor to Excellent. Other predictors such as Presence of an alley, the Lot characteristics, and the zoning variables do not seem to have a upwards or downwards trend with SalePrice.
Tip: think about performance metrics other than MSE: MAE, relative error, etc. > A predictive model that uses housing sale prices 2006-2009.
# Forward and backward stepwise (best subset will be too time-intensive)
nvmax = 1000 #ncol(housing)
model = map(
.x = c('forward', 'backward'),
.f = ~regsubsets(SalePrice ~ .,
data = housing.factors[housing.factors$Yr.Sold != 2010, ],
nvmax = nvmax, method = .x, really.big = F)
)
## Warning in leaps.setup(x, y, wt = wt, nbest = nbest, nvmax = nvmax, force.in =
## force.in, : 15 linear dependencies found
## Reordering variables and trying again:
## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: number of items to replace is
## not a multiple of replacement length
## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: 15 linear dependencies found
## Reordering variables and trying again:
## Warning in rval$lopt[] <- rval$vorder[rval$lopt]: number of items to replace is
## not a multiple of replacement length
# Find optimal models
for(.x in 1:2) {
num_variables = 1:length(summary(model[[.x]])$rss)
# R^2
plot_RSQ = ggplot(data = data.frame(summary(model[[.x]])$rsq),
aes(x = num_variables, y = summary(model[[.x]])$rsq)) +
geom_line() +
geom_point(x = which.max(summary(model[[.x]])$rsq),
y = max(summary(model[[.x]])$rsq), aes(color = "red"),
show.legend = FALSE) +
xlab("# Variables") +
ylab("R-squared") +
theme_bw()
# RSS
plot_RSS = ggplot(data = data.frame(summary(model[[.x]])$rss),
aes(x = num_variables, y = summary(model[[.x]])$rss)) +
geom_line() +
geom_point(x = which.min(summary(model[[.x]])$rss),
y = min(summary(model[[.x]])$rss), aes(color = "red"),
show.legend = FALSE) +
xlab("# Variables") +
ylab("RSS") +
theme_bw()
# BIC
plot_BIC = ggplot(data = data.frame(summary(model[[.x]])$bic),
aes(x = num_variables, y = summary(model[[.x]])$bic)) +
geom_line() +
geom_point(x = which.min(summary(model[[.x]])$bic),
y = min(summary(model[[.x]])$bic), aes(color = "red"),
show.legend = FALSE) +
xlab("# Variables") +
ylab("BIC") +
ggtitle("BIC",
str_c("Optimal value at ", which.min(summary(model[[.x]])$bic))) +
theme_bw()
# AIC
plot_AIC = ggplot(data = data.frame(summary(model[[.x]])$cp),
aes(x = num_variables, y = summary(model[[.x]])$cp)) +
geom_line() +
geom_point(x = which.min(summary(model[[.x]])$cp),
y = min(summary(model[[.x]])$cp), aes(color = "red"),
show.legend = FALSE) +
xlab("# Variables") +
ylab("AIC") +
ggtitle("AIC",
str_c("Optimal value at ", which.min(summary(model[[.x]])$cp))) +
theme_bw()
# Plot
gridExtra::grid.arrange(plot_RSQ, plot_RSS, plot_AIC, plot_BIC,
ncol = 2, nrow = 2)
}
# Get predictions from optimal models
model_coef = map(1:2,
~coef(model[[.x]], which.min(summary(model[[.x]])$bic)))
temp = bind_rows(
tibble(method = 'forward', var = names(model_coef[[1]]),
coef = model_coef[[1]], varmatch = NA_character_),
tibble(method = 'backward', var = names(model_coef[[2]]),
coef = model_coef[[2]], varmatch = NA_character_)
)
# Try to figure out programmatically which variables are in the models
for(r in 1:nrow(temp)) {
if(temp$method[r] == 'forward') {
potential_names = names(housing.factors)[agrepl(names(model_coef[[1]][r]),
names(housing.factors),
max.distance = 0.3)]
} else {
potential_names = names(housing.factors)[agrepl(names(model_coef[[2]][r]),
names(housing.factors),
max.distance = 0.3)]
}
if(length(potential_names) == 0) {
varmatch = NA_character_
} else if(length(potential_names) == 1) {
varmatch = potential_names
} else {
varmatch = str_flatten(
intersect(
unlist(strsplit(potential_names, '')),
unlist(strsplit(potential_names, ''))
)
)
}
temp$varmatch[r] = varmatch
}
# Refit: Forward
forward_predictors = c('MS.SubClass', 'Lot.Area', 'Lot.Config',
'Land.Slope', 'Neighborhood', 'Condition.1',
'Condition.2', 'House.Style', 'Overall.Cond',
'Year.Built', 'Year.Remod.Add', 'Roof.Style',
'Roof.Matl', 'Exterior.1st', 'Mas.Vnr.Area',
'Exter.Qual', 'Exter.Cond', 'Bsmt.Exposure',
'BsmtFin.Type.1', 'BsmtFin.SF.1', 'BsmtFin.SF.2',
'Heating.QC', 'Low.Qual.Fin.SF', 'Kitchen.Qual',
'TotRms.AbvGrd', 'Functional', 'Fireplace.Qu',
'Garage.Type', 'Garage.Yr.Blt', 'Garage.Cond',
'Paved.Drive', 'Wood.Deck.SF', 'Misc.Feature',
'Misc.Val', 'Yr.Sold', 'Sale.Type',
'BsmtFin.Type.1', 'Kitchen.Qual', 'Garage.Cond')
forward_pred = predict(
lm(formula(paste('SalePrice ~', str_flatten(forward_predictors, "+"))),
data = housing.factors), #[housing$Yr.Sold != 2010, ]),
housing.factors[housing.factors$Yr.Sold == 2010, ]
)
# Refit: Backward
backward_predictors = c('MS.SubClass', 'Lot.Area', 'Land.Slope',
'Neighborhood', 'Condition.1', 'Condition.2',
'Bldg.Type', 'Overall.Cond', 'Year.Built',
'Year.Remod.Add', 'Roof.Style', 'Roof.Matl',
'Exterior.1st', 'Mas.Vnr.Type', 'Exter.Qual',
'Exter.Cond', 'Bsmt.Cond', 'BsmtFin.Type.1',
'BsmtFin.SF.1', 'BsmtFin.SF.1', 'Heating.QC',
'Kitchen.Qual', 'Functional', 'Fireplaces',
'Fireplace.Qu', 'Garage.Type', 'Garage.Yr.Blt',
'Wood.Deck.SF', 'X3Ssn.Porch', 'Screen.Porch',
'Misc.Feature', 'Sale.Type', 'BsmtFin.Type.1',
'Garage.Cond')
backward_pred = predict(
lm(formula(paste('SalePrice ~', str_flatten(backward_predictors, "+"))),
data = housing.factors), #[housing$Yr.Sold != 2010, ]),
housing.factors[housing.factors$Yr.Sold == 2010, ]
)
## Warning in predict.lm(lm(formula(paste("SalePrice ~",
## str_flatten(backward_predictors, : prediction from a rank-deficient fit may be
## misleading
# GLM
glm = glm(SalePrice ~ ., data = housing.factors[housing.factors$Yr.Sold != 2010, ])
names(coef(glm)[coef(summary(glm))[, "Pr(>|t|)"] < 0.05])[-1]
## [1] "MS.SubClass120" "MS.SubClass160" "MS.SubClass180"
## [4] "Lot.Area" "Land.ContourHLS" "Land.ContourLvl"
## [7] "Lot.ConfigCulDSac" "Land.SlopeMod" "Land.SlopeSev"
## [10] "NeighborhoodEdwards" "NeighborhoodGrnHill" "NeighborhoodMitchel"
## [13] "NeighborhoodNAmes" "NeighborhoodNoRidge" "NeighborhoodNridgHt"
## [16] "NeighborhoodNWAmes" "NeighborhoodStoneBr" "Condition.1Norm"
## [19] "Condition.1PosA" "Condition.1PosN" "Condition.2PosA"
## [22] "Condition.2PosN" "House.StyleSLvl" "Overall.Qual"
## [25] "Overall.Cond" "Year.Built" "Roof.StyleShed"
## [28] "Roof.MatlCompShg" "Roof.MatlMembran" "Roof.MatlMetal"
## [31] "Roof.MatlRoll" "Roof.MatlTar&Grv" "Roof.MatlWdShake"
## [34] "Exterior.1stBrkComm" "Exterior.1stPlywood" "Mas.Vnr.TypeBrkCmn"
## [37] "Mas.Vnr.TypeNone" "Mas.Vnr.TypeStone" "Mas.Vnr.Area"
## [40] "Bsmt.CondGd" "Bsmt.CondEx" "Bsmt.ExposureDNE"
## [43] "Bsmt.ExposureMn" "Bsmt.ExposureNo" "BsmtFin.Type.1LwQ"
## [46] "BsmtFin.Type.1Rec" "BsmtFin.Type.2Rec" "BsmtFin.Type.2BLQ"
## [49] "ElectricalFuseA" "ElectricalFuseF" "ElectricalFuseP"
## [52] "X1st.Flr.SF" "Low.Qual.Fin.SF" "Gr.Liv.Area"
## [55] "Full.Bath" "Kitchen.AbvGr" "FunctionalMaj2"
## [58] "FunctionalMin1" "FunctionalMod" "FunctionalSal"
## [61] "FunctionalSev" "Fireplace.QuPo" "Fireplace.QuGd"
## [64] "Garage.TypeDetchd" "Garage.TypeDNE" "Garage.Yr.Blt"
## [67] "Garage.FinishFin" "Garage.FinishRFn" "Garage.FinishUnf"
## [70] "Garage.Cars" "Garage.Area" "Garage.QualPo"
## [73] "Garage.QualFa" "Garage.QualEx" "Garage.CondGd"
## [76] "Open.Porch.SF" "Pool.QCFa" "Sale.TypeConLI"
## [79] "Sale.TypeCWD"
polyTestErr <- function(dat, train, d) {
poly.fit <- lm(y ~ poly(x, degree = d), data = dat, subset = train)
preds <- predict(poly.fit, dat)[-train]
mean((dat$y[-train] - preds)^2)
}
cubicSplineTestErr <- function(dat, train, df) {
if(df >= 3) {
spline.fit <- lm(y ~ bs(x, df = df), data = dat, subset = train)
preds <- predict(spline.fit, dat)[-train]
mean((dat$y[-train] - preds)^2)
} else {
NA
}
}
smoothSplineTestErr <- function(dat, train, df) {
if(df > 1) {
spline.fit <- with(dat, smooth.spline(x[train], y[train], df = df))
preds <- predict(spline.fit, dat$x)$y[-train]
mean((dat$y[-train] - preds)^2)
} else {
NA
}
}
smoothCV <- function(x, y, K = 10, df.min = 1, df.max = 10) {
dat <- data.frame(x = x, y = y)
n <- length(y) # number of observations
num.methods <- 3
method.names <- c("poly", "cubic.spline", "smoothing.spline")
err.out <- data.frame(df = rep(df.min:df.max, each = num.methods),
method = rep(method.names, df.max - df.min + 1))
# Get a random permutation of the indexes
random.perm <- sample(n)
# break points for the folds. If n is not evenly divisible by K,
# these may not be of exactly the same size.
fold.breaks <- round(seq(1,n+1, length.out = K + 1))
fold.start <- fold.breaks[1:K]
fold.end <- fold.breaks[2:(K+1)] - 1
fold.end[K] <- n # Fix the last endoint to equal n
fold.size <- fold.end - fold.start + 1 # num obs in each fold
cv.err <- NULL
fold.err <- matrix(0, nrow = K, ncol = 3)
colnames(fold.err) <- c("poly", "cubic.spline", "smoothing.spline")
# Outer loop: Loop over degrees of freedom
# Inner loop: Iterate over the K folds
for(df in df.min:df.max) {
for(k in 1:K) {
test.idx <- fold.start[k]:fold.end[k]
train <- random.perm[-test.idx]
# Calculate test error for the three models
poly.err <- polyTestErr(dat, train = train, d = df)
cubic.spline.err <- cubicSplineTestErr(dat, train = train, df = df)
smooth.spline.err <- smoothSplineTestErr(dat, train = train, df = df)
# Store results for this fold
fold.err[k,] <- c(poly.err, cubic.spline.err, smooth.spline.err)
# print(fold.err[k,])
}
# Perform weighted averaging to calculate CV error estimate
# MSE estimates from each fold are weighted by the size of the fold
# If all folds are the same size, this is the same thing as the unweighted
# average of all of the MSE's
err.ave <- colSums(sweep(fold.err, MARGIN = 1, fold.size, FUN = "*") / n)
cv.err <- c(cv.err, err.ave)
}
err.out$cv.error <- cv.err
err.out
}
plot.smoothCV <- function(smoothcv.err, K, title.text = "", facet = FALSE,
y.scale.factor = NULL) {
# Convert the method names
dat <- transform(smoothcv.err,
method = mapvalues(method,
c("poly", "cubic.spline", "smoothing.spline"),
c("Polynomial", "Cubic spline", "Smoothing Spline")
)
)
# Set axes labels
x.text <- "Degrees of Freedom"
y.text <- paste0(K, "-fold CV Error")
# The ggplot "setting": data, axes, and color by method
p <- ggplot(data = dat, aes(x = df, y = cv.error, colour = method))
# Overlay with line plots, data points, axes labels, and graph title
p <- p + geom_line() + geom_point() + xlab(x.text) + ylab(y.text) +
ggtitle(title.text)
# Adjust the y axis range if y.scale.factor is specified
if(!is.null(y.scale.factor)) {
min.err <- min(dat$cv.error, na.rm = TRUE)
p <- p + ylim(min.err, y.scale.factor * min.err)
}
# Show a separate plot per method if facet=TRUE
if(!facet) {
print(p)
} else {
print(p + facet_wrap("method"))
}
}
cv.cols <- c(5,21,22,28,36,39,40,45,46,48,56,64,68,69,78)
for (i in cv.cols){
#print(colnames(housing[i]))
cv.allvar <- smoothCV(x = housing[[i]],
y= housing$SalePrice,
df.min = 1,
df.max = 10
)
cv.allvar.plot<- plot.smoothCV(cv.allvar,
K=10,
title.text= paste(colnames(housing[i]))
)
cv.allvar.plot
#print(which.min(cv.allvar.plot$data$cv.error))
}
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## Warning in predict.lm(spline.fit, dat): prediction from a rank-deficient fit may
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# Lot.Frontage poly 9
# Year.Built Cubic 6
# Year.Remod.Add Smooth 10
# Mas.Vnr.Area Poly 1
# BsmtFin.SF.1 Poly 1
# Bsmt.Unf.SF Cubic 6
# Total.Bsmt.SF Poly 1
# X1st.Flr.SF Poly 1
# x2nd.Flr.SF Poly 2
# Gr.Liv.Area Poly 1
# TotRms.AbvGrd Cubic 3
# Garage.Area Smooth 10
# Wood.Deck.SF Poly 1
# Open.Porch.SF Poly 1
# Mo.Sold Smooth 5
gam.model <- gam(SalePrice~poly(Lot.Frontage,9) + bs(Year.Built, 6) +
s(Year.Remod.Add, 10) + poly(Mas.Vnr.Area,1) +
poly(BsmtFin.SF.1,1) + bs(Bsmt.Unf.SF, 6) +
poly(Total.Bsmt.SF,1) + poly(X1st.Flr.SF,1) +
poly(X2nd.Flr.SF,2) + poly(Gr.Liv.Area,1) + bs(TotRms.AbvGrd,3) +
s(Garage.Area, 10) + poly(Wood.Deck.SF, 1) + poly(Open.Porch.SF) +
s(Mo.Sold, 3), data = housing)
gam_pred = predict(gam.model,
newdata = housing.factors[housing.factors$Yr.Sold == 2010, ])
par(mfrow = c(2,4))
plot(gam.model, col='red', lwd =2)
# Lasso [Primary]
# Define x and y objects for Lasso, as well as specifying training data
train = which(housing.factors$Yr.Sold != 2010)
x = model.matrix(SalePrice ~ ., housing.factors)[, -1]
y = housing.factors$SalePrice
# Fit and plot model
lasso_model = cv.glmnet(x[train, ], y[train] , alpha = 1)
plot(lasso_model)
# Find min and 1SE values of lambda
lasso_model$lambda.min; lasso_model$lambda.1se
## [1] 561.7294
## [1] 3290.061
lasso_pred = predict(lasso_model, s = lasso_model$lambda.1se,
newx = x[-train, ])
# Refit model and find non-zero coefficients
lasso_model_coef = map(
.x = c(lasso_model$lambda.min, lasso_model$lambda.min),
.f = ~predict(glmnet(x, y ,alpha = 1), s = .x, type = 'coefficients')
)
kable(lasso_model_coef[[1]][lasso_model_coef[[1]][,1]!=0,1])
| x | |
|---|---|
| (Intercept) | -4.556463e+05 |
| MS.SubClass90 | -8.319531e+03 |
| MS.SubClass120 | -5.295658e+03 |
| MS.SubClass150 | -7.346303e+03 |
| MS.SubClass160 | -7.637981e+03 |
| MS.SubClass190 | -4.917511e+03 |
| MS.ZoningC (all) | -2.878291e+03 |
| MS.ZoningRM | -4.332112e+03 |
| Lot.Area | 3.291019e-01 |
| StreetPave | 6.270311e+03 |
| Lot.ShapeIR2 | 2.747324e+03 |
| Lot.ShapeIR3 | -1.424472e+04 |
| Land.ContourHLS | 5.649911e+03 |
| Land.ContourLvl | 1.267575e+03 |
| UtilitiesNoSeWa | -7.610431e+02 |
| Lot.ConfigCulDSac | 4.837358e+03 |
| Lot.ConfigFR2 | -2.213698e+03 |
| Land.SlopeMod | 1.900011e+03 |
| NeighborhoodBrkSide | 1.912237e+03 |
| NeighborhoodCrawfor | 1.396723e+04 |
| NeighborhoodEdwards | -5.924192e+03 |
| NeighborhoodGrnHill | 9.359630e+04 |
| NeighborhoodMitchel | -7.988055e+02 |
| NeighborhoodNAmes | -1.959158e+03 |
| NeighborhoodNoRidge | 3.744406e+04 |
| NeighborhoodNPkVill | 7.050625e+01 |
| NeighborhoodNridgHt | 2.534146e+04 |
| NeighborhoodNWAmes | -2.990502e+03 |
| NeighborhoodOldTown | -1.537492e+03 |
| NeighborhoodSomerst | 1.413445e+04 |
| NeighborhoodStoneBr | 4.064104e+04 |
| NeighborhoodSWISU | -6.960496e+02 |
| Condition.1Feedr | -8.477874e+00 |
| Condition.1Norm | 7.742900e+03 |
| Condition.1PosA | 4.096369e+03 |
| Condition.1PosN | 6.759927e+03 |
| Condition.2PosA | 4.779070e+04 |
| Condition.2PosN | -7.693945e+04 |
| Bldg.TypeDuplex | -1.312219e+01 |
| Bldg.TypeTwnhs | -1.176727e+04 |
| Bldg.TypeTwnhsE | -1.021455e+04 |
| House.Style1Story | 2.744273e+03 |
| Overall.Qual | 8.324137e+03 |
| Overall.Cond | 4.649523e+03 |
| Year.Built | 2.469363e+02 |
| Year.Remod.Add | 8.611468e+01 |
| Roof.StyleHip | 2.896201e+01 |
| Roof.MatlCompShg | 3.282446e+03 |
| Roof.MatlMembran | 9.093706e+02 |
| Roof.MatlWdShngl | 5.838646e+04 |
| Exterior.1stBrkFace | 1.406566e+04 |
| Exterior.1stCemntBd | 3.409265e+02 |
| Exterior.1stHdBoard | -1.077965e+03 |
| Exterior.1stPreCast | 4.536614e+04 |
| Exterior.1stStucco | -3.782248e+03 |
| Exterior.2ndPlywood | -4.776243e+01 |
| Exterior.2ndStucco | -1.327931e+03 |
| Exterior.2ndVinylSd | 1.089340e+03 |
| Mas.Vnr.TypeBrkCmn | -4.136472e+03 |
| Mas.Vnr.TypeBrkFace | -1.437982e+03 |
| Mas.Vnr.TypeCBlock | -3.143236e+04 |
| Mas.Vnr.Area | 1.894616e+01 |
| Exter.QualTA | -3.423239e+03 |
| Exter.QualEx | 2.301835e+04 |
| FoundationPConc | 1.789163e+03 |
| Bsmt.QualEx | 2.270149e+04 |
| Bsmt.ExposureGd | 1.241540e+04 |
| Bsmt.ExposureMn | -2.708815e+03 |
| Bsmt.ExposureNo | -4.676846e+03 |
| BsmtFin.Type.1GLQ | 2.498111e+03 |
| BsmtFin.SF.1 | 1.162995e+01 |
| BsmtFin.Type.2ALQ | 7.471828e+02 |
| BsmtFin.Type.2GLQ | 2.677371e+03 |
| BsmtFin.SF.2 | 3.762262e+00 |
| Total.Bsmt.SF | 1.117882e+01 |
| HeatingOthW | -1.256177e+04 |
| Heating.QCTA | -1.948364e+02 |
| Heating.QCEx | 2.432140e+03 |
| X1st.Flr.SF | 3.743850e-02 |
| Low.Qual.Fin.SF | -1.975146e+01 |
| Gr.Liv.Area | 4.752874e+01 |
| Bsmt.Full.Bath | 3.064714e+03 |
| Full.Bath | 2.680403e+03 |
| Half.Bath | 7.317373e+01 |
| Bedroom.AbvGr | -5.254042e+02 |
| Kitchen.AbvGr | -1.200560e+04 |
| Kitchen.QualTA | -1.992835e+03 |
| Kitchen.QualEx | 2.241514e+04 |
| TotRms.AbvGrd | 2.154884e+02 |
| FunctionalMaj2 | -7.269396e+01 |
| FunctionalSal | -1.149652e+04 |
| FunctionalSev | -2.095135e+04 |
| FunctionalTyp | 7.536019e+03 |
| Fireplaces | 4.715029e+03 |
| Fireplace.QuFa | -7.843960e+02 |
| Fireplace.QuEx | 5.628087e+03 |
| Garage.TypeBasment | -2.789360e+03 |
| Garage.TypeDNE | 2.260308e+03 |
| Garage.FinishFin | 1.168701e+03 |
| Garage.FinishRFn | -4.024519e+02 |
| Garage.Cars | 6.127353e+03 |
| Garage.Area | 7.179958e+00 |
| Garage.QualGd | 1.018808e+04 |
| Garage.QualEx | 1.685099e+04 |
| Garage.CondFa | -6.875397e+02 |
| Wood.Deck.SF | 1.112693e+01 |
| Screen.Porch | 3.608953e+01 |
| Pool.Area | 1.766880e+01 |
| Pool.QCGd | -1.053107e+05 |
| Pool.QCEx | 8.260053e+04 |
| Misc.FeatureElev | -4.154490e+05 |
| Misc.FeatureOthr | 2.114322e+02 |
| Yr.Sold | -1.174420e+02 |
| Sale.TypeCon | 1.814407e+04 |
| Sale.TypeNew | 1.223731e+04 |
| Sale.ConditionAlloca | 2.935977e+03 |
| Sale.ConditionNormal | 2.961310e+03 |
| Sale.ConditionPartial | 1.214260e+02 |
boost_model = gbm(SalePrice ~ .,
data = mutate_if(housing.factors, is.character, as.factor)[housing.factors$Yr.Sold != 2010, ],
distribution = 'gaussian',
n.trees = 5000,
cv.folds = 10,
shrinkage = 0.1,
interaction.depth = 4)
summary(boost_model)
## var rel.inf
## Overall.Qual Overall.Qual 34.808200475
## Gr.Liv.Area Gr.Liv.Area 12.643331985
## Neighborhood Neighborhood 12.105262031
## Garage.Cars Garage.Cars 4.257582148
## Total.Bsmt.SF Total.Bsmt.SF 3.995380545
## X1st.Flr.SF X1st.Flr.SF 3.747045021
## Bsmt.Qual Bsmt.Qual 3.739110019
## BsmtFin.SF.1 BsmtFin.SF.1 2.677821344
## Lot.Area Lot.Area 1.950628644
## MS.SubClass MS.SubClass 1.520585886
## Kitchen.Qual Kitchen.Qual 1.320791229
## Fireplace.Qu Fireplace.Qu 1.219059553
## Full.Bath Full.Bath 1.182898510
## Garage.Area Garage.Area 1.139124497
## Mas.Vnr.Area Mas.Vnr.Area 0.826789958
## Year.Remod.Add Year.Remod.Add 0.820630187
## X2nd.Flr.SF X2nd.Flr.SF 0.760149054
## Bsmt.Unf.SF Bsmt.Unf.SF 0.718080229
## Overall.Cond Overall.Cond 0.653002747
## Open.Porch.SF Open.Porch.SF 0.637107445
## Garage.Type Garage.Type 0.602205812
## Bsmt.Exposure Bsmt.Exposure 0.531086189
## Exterior.1st Exterior.1st 0.523098462
## Exterior.2nd Exterior.2nd 0.517446569
## Sale.Condition Sale.Condition 0.512767722
## BsmtFin.Type.1 BsmtFin.Type.1 0.456254417
## ï..Order ï..Order 0.449359168
## PID PID 0.433523464
## Screen.Porch Screen.Porch 0.416791094
## Fireplaces Fireplaces 0.403590429
## Garage.Finish Garage.Finish 0.384336257
## Lot.Frontage Lot.Frontage 0.370118564
## Wood.Deck.SF Wood.Deck.SF 0.335526343
## Year.Built Year.Built 0.292736967
## Mo.Sold Mo.Sold 0.277257682
## Sale.Type Sale.Type 0.247590611
## TotRms.AbvGrd TotRms.AbvGrd 0.218180215
## Condition.1 Condition.1 0.209186725
## Land.Contour Land.Contour 0.198057832
## Functional Functional 0.167000149
## Garage.Yr.Blt Garage.Yr.Blt 0.159600975
## Central.Air Central.Air 0.138998258
## Mas.Vnr.Type Mas.Vnr.Type 0.110572562
## Lot.Config Lot.Config 0.102010373
## Bsmt.Full.Bath Bsmt.Full.Bath 0.097260912
## Enclosed.Porch Enclosed.Porch 0.083749024
## Roof.Style Roof.Style 0.070094375
## Exter.Qual Exter.Qual 0.069644306
## Heating.QC Heating.QC 0.063142724
## BsmtFin.SF.2 BsmtFin.SF.2 0.058446005
## Roof.Matl Roof.Matl 0.056409332
## Paved.Drive Paved.Drive 0.053531163
## Half.Bath Half.Bath 0.053516295
## Bedroom.AbvGr Bedroom.AbvGr 0.053327575
## BsmtFin.Type.2 BsmtFin.Type.2 0.046058207
## Condition.2 Condition.2 0.045488993
## X3Ssn.Porch X3Ssn.Porch 0.042513392
## Exter.Cond Exter.Cond 0.038467280
## Bsmt.Cond Bsmt.Cond 0.037880977
## Alley Alley 0.035289364
## House.Style House.Style 0.034986855
## MS.Zoning MS.Zoning 0.033099732
## Lot.Shape Lot.Shape 0.031841761
## Low.Qual.Fin.SF Low.Qual.Fin.SF 0.021736864
## Land.Slope Land.Slope 0.020839394
## Garage.Qual Garage.Qual 0.020412998
## Fence Fence 0.018490121
## Bldg.Type Bldg.Type 0.017987867
## Foundation Foundation 0.016028787
## Pool.Area Pool.Area 0.014424984
## Bsmt.Half.Bath Bsmt.Half.Bath 0.014394604
## Pool.QC Pool.QC 0.012691056
## Heating Heating 0.012542248
## Garage.Cond Garage.Cond 0.011912206
## Misc.Val Misc.Val 0.011383632
## Electrical Electrical 0.009021572
## Misc.Feature Misc.Feature 0.008516597
## Kitchen.AbvGr Kitchen.AbvGr 0.003094526
## Yr.Sold Yr.Sold 0.001895929
## Street Street 0.000000000
## Utilities Utilities 0.000000000
for(.x in 1:5) {
plot(boost_model, i = summary(boost_model)[.x, 'var'])
}
boost_pred = predict(boost_model,
newdata = housing.factors[housing.factors$Yr.Sold == 2010, ],
n.trees = 5000)
## Warning in predict.gbm(boost_model, newdata =
## housing.factors[housing.factors$Yr.Sold == : NAs introduced by coercion
# Create performance_metrics function
performance_metrics = function(actual = housing.factors[housing.factors$Yr.Sold == 2010, 'SalePrice'], predicted, plot = T, by_neighborhood = F) {
# Check that actual and predicted values are the same length
if(length(actual) != length(predicted)) {
message("'actual' and 'predicted' vectors must be the same length.")
} else {
# Compute metrics (MSE, RMSE, MAE, relative error)
# Including by neighborhood
if(by_neighborhood) {
metrics = tibble(
neighborhood = housing.factors[housing.factors$Yr.Sold == 2010, 'Neighborhood'],
actual = actual,
predicted = as.numeric(predicted),
mse = (actual - predicted)^2,
mae = abs(actual - predicted),
rel_error = (predicted - actual) / actual
) %>%
group_by(neighborhood) %>%
summarize(across(mse:rel_error, mean)) %>%
ungroup()
# Plot
barplot = ggplot(data = pivot_longer(metrics, cols = mse:rel_error,
names_to = 'performance_metric',
values_to = 'metric_score'),
aes(x = performance_metric, y = metric_score)) +
geom_bar(stat = 'identity') +
geom_text(aes(label = round(metric_score, 3))) +
xlab("Metric") +
ylab("Score") +
facet_wrap(~neighborhood) +
theme_bw()
scatter = ggplot(data = tibble(
neighborhood = housing.factors[housing.factors$Yr.Sold == 2010, 'Neighborhood'],
actual = actual,
predicted = predicted),
aes(x = actual, y = predicted)) +
geom_point(aes(size = abs(actual - predicted)), alpha = 0.4) +
xlab("Actual") +
ylab("Predicted") +
facet_wrap('neighborhood') +
geom_abline(slope = 1, intercept = 0, col = 'red') +
theme_bw()
} else {
# Compute error and create data frame
mse = mean((actual - predicted)^2)
mae = mean(abs(actual - predicted))
rel_error = mean((predicted - actual) / actual)
metrics = tibble(mse = mse, mae = mae, rel_error = rel_error)
# Plot
barplot = ggplot(data = tibble(mse, mae, rel_error) %>%
pivot_longer(cols = everything(),
names_to = 'performance_metric',
values_to = 'metric_score'),
aes(x = performance_metric, y = metric_score)) +
geom_bar(stat = 'identity') +
geom_text(aes(label = round(metric_score, 3))) +
xlab("Metric") +
ylab("Score") +
theme_bw()
scatter = ggplot(data = tibble(actual = actual,
predicted = predicted),
aes(x = actual, y = predicted)) +
geom_point(aes(size = abs(actual - predicted)), alpha = 0.4) +
xlab("Actual") +
ylab("Predicted") +
geom_abline(slope = 1, intercept = 0, col = 'red') +
theme_bw()
}
# Return objects
if(plot) {
return(list(metrics = metrics, barplot = barplot, scatter = scatter))
} else {
return(list(metrics = metrics))
}
}
}
# Use performance_metrics function defined above for all models
map(list(forward_pred = forward_pred, backward_pred = backward_pred,
lasso_pred = lasso_pred, boost_pred = boost_pred, gam_pred = gam_pred),
~performance_metrics(predicted = .x))
## $forward_pred
## $forward_pred$metrics
## # A tibble: 1 x 3
## mse mae rel_error
## <dbl> <dbl> <dbl>
## 1 604242156. 18025. 0.0186
##
## $forward_pred$barplot
##
## $forward_pred$scatter
##
##
## $backward_pred
## $backward_pred$metrics
## # A tibble: 1 x 3
## mse mae rel_error
## <dbl> <dbl> <dbl>
## 1 696652643. 18607. 0.0317
##
## $backward_pred$barplot
##
## $backward_pred$scatter
##
##
## $lasso_pred
## $lasso_pred$metrics
## # A tibble: 1 x 3
## mse mae rel_error
## <dbl> <dbl> <dbl>
## 1 730008265. 18930. 0.0466
##
## $lasso_pred$barplot
##
## $lasso_pred$scatter
##
##
## $boost_pred
## $boost_pred$metrics
## # A tibble: 1 x 3
## mse mae rel_error
## <dbl> <dbl> <dbl>
## 1 987528868. 22644. 0.105
##
## $boost_pred$barplot
##
## $boost_pred$scatter
##
##
## $gam_pred
## $gam_pred$metrics
## # A tibble: 1 x 3
## mse mae rel_error
## <dbl> <dbl> <dbl>
## 1 931733297. 21821. 0.0593
##
## $gam_pred$barplot
##
## $gam_pred$scatter
The Forward Stepwise model has the lowest MSE, MAE, and Relative Error.
#Code Here
#Code Here
# map(list(forward_pred = forward_pred, backward_pred = backward_pred,
# lasso_pred = lasso_pred, boost_pred = boost_pred),
# ~performance_metrics(predicted = .x, by_neighborhood = T))
I am going to write a bit about the calculator
What it does
Data sources:
Room Renovation Costs Business Insider
Roof Renovation Cost Super Storm Restoration
reno_value = function(upgrade = c('add_full_bathroom', 'remodel_kitchen',
'finish_basement', 'replace_roof'),
budget = c('medium', 'low', 'high')) {
# # Confirm upgrade and budget args; otherwise throw an error
upgrade = tryCatch(
match.arg(upgrade, choices = c('add_full_bathroom', 'remodel_kitchen',
'finish_basement', 'replace_roof'),
several.ok = T),
error = identity
)
budget = tryCatch(
match.arg(budget, choices = c('low', 'medium', 'high'), several.ok = F),
error = identity
)
# Handle errors
if(str_detect(upgrade, "Error") | str_detect(budget, "Error")) {
suppressWarnings(return(message(upgrade)))
break()
} else {
# Update data based on stated upgrades
remodeled_housing = mutate(housing, Reno.Cost = 0)
# Add bathroom
if('add_full_bathroom' %in% upgrade) {
remodeled_housing = mutate(
remodeled_housing,
budget = budget,
Reno.Cost = case_when(
budget == 'low' ~ Reno.Cost + 5957,
budget == 'medium' ~ Reno.Cost + 10349,
budget == 'high' ~ Reno.Cost + 14833,
T ~ Reno.Cost
),
PreReno.Full.Bath = Full.Bath,
Full.Bath = Full.Bath + 1,
Year.Remod.Add = 2010
)
}
# Remodel kitchen
if('remodel_kitchen' %in% upgrade) {
message('Note: Remodeling kitchens that are already of excellent quality (i.e., "Ex") will not increase the estimated sale price.')
remodeled_housing = mutate(
remodeled_housing,
Reno.Cost = case_when(
Kitchen.Qual == 'Ex' ~ Reno.Cost,
budget == 'low' ~ Reno.Cost + 12557,
budget == 'medium' ~ Reno.Cost + 23556,
budget == 'high' ~ Reno.Cost + 34789,
T ~ Reno.Cost
),
PreReno.Kitchen.Qual = Kitchen.Qual,
Kitchen.Qual = case_when(
budget == 'low' ~ case_when(
Kitchen.Qual %in% c('Gd', 'Ex') ~ 'Ex',
Kitchen.Qual == 'TA' ~ 'Gd',
Kitchen.Qual == 'Fa' ~ 'TA',
Kitchen.Qual == 'Po' ~ 'Fa'
),
budget == 'medium' ~ case_when(
Kitchen.Qual %in% c('TA', 'Gd', 'Ex') ~ 'Ex',
Kitchen.Qual == 'Fa' ~ 'Gd',
Kitchen.Qual == 'Po' ~ 'TA'
),
budget == 'high' ~ case_when(
Kitchen.Qual %in% c('Fa', 'TA', 'Gd', 'Ex') ~ 'Ex',
Kitchen.Qual == 'Po' ~ 'Gd'
),
T ~ as.character(Kitchen.Qual)
) %>% factor(levels = levels(housing.factors$Kitchen.Qual)),
Year.Remod.Add = 2010
)
}
# Finish basement
if('finish_basement' %in% upgrade) {
message('Note: Properties without a basement obviously cannot have finished basements, so this renovation will not increase their estimated sale price.')
remodeled_housing = mutate(
remodeled_housing,
Reno.Cost = case_when(
Bsmt.Cond %in% c("DNE", '') ~ Reno.Cost,
budget == 'low' ~ Reno.Cost + 0.75 * 15000,
budget == 'medium' ~ Reno.Cost + 15000,
budget == 'high' ~ Reno.Cost + 1.25 * 15000,
T ~ Reno.Cost
),
PreReno.BsmtFin.Type.1 = BsmtFin.Type.1,
BsmtFin.Type.1 = case_when(
Bsmt.Cond %in% c("DNE", '') ~ as.character(BsmtFin.Type.1),
budget == 'low' ~ "BLQ",
budget == 'medium' ~ "ALQ",
budget == 'high' ~ "GLQ",
T ~ as.character(BsmtFin.Type.1)
) %>% factor(levels = levels(housing.factors$BsmtFin.Type.1)),
PreReno.BsmtFin.SF.1 = BsmtFin.SF.1,
BsmtFin.SF.1 = BsmtFin.SF.1 + Bsmt.Unf.SF,
Year.Remod.Add = 2010
)
}
# Replace roof
if('replace_roof' %in% upgrade) {
remodeled_housing = mutate(
remodeled_housing,
Reno.Cost = case_when(
budget == 'low' ~ Reno.Cost + 5100,
budget == 'medium' ~ Reno.Cost + 10000,
budget == 'high' ~ Reno.Cost + 15000,
T ~ Reno.Cost
),
PreReno.Exter.Cond = Exter.Cond,
Exter.Cond = case_when(
budget == 'low' ~ case_when(
Exter.Cond %in% c('Gd', 'Ex') ~ 'Ex',
Exter.Cond == 'TA' ~ 'Gd',
Exter.Cond == 'Fa' ~ 'TA',
Exter.Cond == 'Po' ~ 'Fa'
),
budget == 'medium' ~ case_when(
Exter.Cond %in% c('TA', 'Gd', 'Ex') ~ 'Ex',
Exter.Cond == 'Fa' ~ 'Gd',
Exter.Cond == 'Po' ~ 'TA'
),
budget == 'high' ~ case_when(
Exter.Cond %in% c('Fa', 'TA', 'Gd', 'Ex') ~ 'Ex',
Exter.Cond == 'Po' ~ 'Gd',
),
T ~ as.character(Exter.Cond)
) %>% factor(levels = levels(housing.factors$Exter.Cond)),
Year.Remod.Add = 2010
)
}
# Predict based on new features
costs_benefits = tibble(
orig_predicted_sale_price = predict(
lm(formula(paste('SalePrice ~',
str_flatten(forward_predictors, "+"))),
data = housing.factors)
),
new_predicted_sale_price = predict(
lm(formula(paste('SalePrice ~',
str_flatten(forward_predictors, "+"))),
data = remodeled_housing)
),
remodeling_costs = remodeled_housing$Reno.Cost,
net = new_predicted_sale_price - orig_predicted_sale_price - remodeling_costs
)
# Return costs and predictions
# return(list(remodeled_housing = remodeled_housing,
# costs_benefits = costs_benefits))
rem_housing_cols = c("ï..Order", "PID")
if('add_full_bathroom' %in% upgrade) {
rem_housing_cols = c(rem_housing_cols, "PreReno.Full.Bath", "Full.Bath")
}
if ('remodel_kitchen' %in% upgrade){
rem_housing_cols = append(rem_housing_cols, c("PreReno.Kitchen.Qual", "Kitchen.Qual"))
}
if ('finish_basement' %in% upgrade){
rem_housing_cols = c(rem_housing_cols, c("PreReno.BsmtFin.Type.1",
"BsmtFin.Type.1",
"PreReno.BsmtFin.SF.1","BsmtFin.SF.1"))
}
if('replace_roof' %in% upgrade) {
rem_housing_cols = c(rem_housing_cols, "Exter.Cond")
}
rem_housing_cols = c(rem_housing_cols, c("Year.Remod.Add","SalePrice", "Reno.Cost"))
return(list("remodeled_housing" = remodeled_housing[rem_housing_cols],
"cost_benefits" = costs_benefits))
}
}
#reno_value('add_full_bathroom', 'high')
#reno_value('add_full_bathroom', 'medium')
#reno_value('add_full_bathroom', 'low')
#reno_value('remodel_kitchen', 'high')
#reno_value('remodel_kitchen', 'medium')
#reno_value('remodel_kitchen', 'low')
#reno_value('replace_roof', 'high')
#reno_value('replace_roof', 'medium')
#reno_value('replace_roof', 'low')
#reno_value('finish_basement', 'high')
#reno_value('finish_basement', 'medium')
#reno_value('finish_basement', 'low')
#k.h <- reno_value('remodel_kitchen', 'high')
#reno_value('add_full_bathroom', 'medium')
#reno_value('low')
all.reno <- reno_value(c('add_full_bathroom','remodel_kitchen', 'replace_roof', 'finish_basement'),'low')
## Warning in if (str_detect(upgrade, "Error") | str_detect(budget, "Error")) {:
## the condition has length > 1 and only the first element will be used
## Note: Remodeling kitchens that are already of excellent quality (i.e., "Ex") will not increase the estimated sale price.
## Note: Properties without a basement obviously cannot have finished basements, so this renovation will not increase their estimated sale price.
all.reno$remodeled_housing
## ï..Order PID PreReno.Full.Bath Full.Bath PreReno.Kitchen.Qual
## 1 1 526301100 1 2 TA
## 2 2 526350040 1 2 TA
## 3 3 526351010 1 2 Gd
## 4 4 526353030 2 3 Ex
## 5 5 527105010 2 3 TA
## 6 6 527105030 2 3 Gd
## 7 7 527127150 2 3 Gd
## 8 8 527145080 2 3 Gd
## 9 9 527146030 2 3 Gd
## 10 10 527162130 2 3 Gd
## 11 11 527163010 2 3 TA
## 12 12 527165230 2 3 TA
## 13 13 527166040 2 3 TA
## 14 14 527180040 1 2 Gd
## 15 15 527182190 1 2 Gd
## 16 16 527216070 3 4 Ex
## 17 17 527225035 2 3 TA
## 18 18 527258010 1 2 Ex
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## 2403 2403 528172150 2 3 Gd
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## 2406 2406 528181030 2 3 Gd
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## 2441 2441 528292080 3 4 Gd
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## 2452 2452 528363070 2 3 Gd
## 2453 2453 528365090 2 3 Gd
## 2454 2454 528366040 2 3 Gd
## 2455 2455 528429060 2 3 Gd
## 2456 2456 528429100 2 3 Gd
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## 2471 2471 531363080 1 2 Gd
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## 2475 2475 531375100 1 2 Gd
## 2476 2476 531376030 2 3 Gd
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## 2479 2479 531450040 2 3 Gd
## 2480 2480 531451290 2 3 Gd
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## 2482 2482 531452100 2 3 Gd
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## 2484 2484 531478010 1 2 TA
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## 2486 2486 532351060 1 2 TA
## 2487 2487 532351090 2 3 TA
## 2488 2488 532351150 2 3 TA
## 2489 2489 532353030 1 2 TA
## 2490 2490 532353180 1 2 TA
## 2491 2491 532376080 1 2 TA
## 2492 2492 532376180 1 2 TA
## 2493 2493 532376250 1 2 TA
## 2494 2494 532378050 1 2 TA
## 2495 2495 532378070 1 2 TA
## 2496 2496 532378130 1 2 TA
## 2497 2497 532378160 1 2 TA
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## 2499 2499 532476050 2 3 Gd
## 2500 2500 533110130 2 3 Gd
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## 2517 2517 533250130 1 2 Ex
## 2518 2518 533252020 1 2 TA
## 2519 2519 533253030 1 2 TA
## 2520 2520 533253050 1 2 Gd
## 2521 2521 533253090 1 2 Gd
## 2522 2522 533253160 1 2 Gd
## 2523 2523 533350050 0 1 Gd
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## 2525 2525 534126060 3 4 Gd
## 2526 2526 534127190 2 3 TA
## 2527 2527 534127270 2 3 TA
## 2528 2528 534128210 2 3 Gd
## 2529 2529 534129230 1 2 TA
## 2530 2530 534175100 2 3 TA
## 2531 2531 534176250 1 2 TA
## 2532 2532 534201130 2 3 TA
## 2533 2533 534201230 1 2 TA
## 2534 2534 534201250 1 2 TA
## 2535 2535 534201260 1 2 Gd
## 2536 2536 534201280 1 2 TA
## 2537 2537 534201300 1 2 TA
## 2538 2538 534202020 1 2 TA
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## 2540 2540 534226060 1 2 Gd
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## 2542 2542 534275010 1 2 TA
## 2543 2543 534276010 1 2 TA
## 2544 2544 534276230 2 3 TA
## 2545 2545 534400120 2 3 Gd
## 2546 2546 534403280 1 2 TA
## 2547 2547 534403400 1 2 TA
## 2548 2548 534403440 1 2 TA
## 2549 2549 534427090 1 2 TA
## 2550 2550 534428060 1 2 Ex
## 2551 2551 534429130 1 2 TA
## 2552 2552 534430050 1 2 TA
## 2553 2553 534430110 1 2 TA
## 2554 2554 534431030 1 2 TA
## 2555 2555 534451050 1 2 TA
## 2556 2556 534451120 1 2 Fa
## 2557 2557 534451130 1 2 TA
## 2558 2558 534453150 1 2 TA
## 2559 2559 534455080 1 2 TA
## 2560 2560 534475160 1 2 TA
## 2561 2561 534476100 1 2 TA
## 2562 2562 534477030 2 3 TA
## 2563 2563 534479130 1 2 Fa
## 2564 2564 534479240 1 2 TA
## 2565 2565 534479300 1 2 TA
## 2566 2566 535101110 2 3 TA
## 2567 2567 535103070 1 2 TA
## 2568 2568 535105160 1 2 TA
## 2569 2569 535125060 2 3 Gd
## 2570 2570 535150240 1 2 TA
## 2571 2571 535150300 2 3 Gd
## 2572 2572 535151080 1 2 TA
## 2573 2573 535151130 1 2 TA
## 2574 2574 535152070 1 2 TA
## 2575 2575 535152280 1 2 TA
## 2576 2576 535176050 1 2 TA
## 2577 2577 535177100 1 2 TA
## 2578 2578 535178100 1 2 TA
## 2579 2579 535179050 1 2 TA
## 2580 2580 535180020 1 2 TA
## 2581 2581 535180070 1 2 Gd
## 2582 2582 535301010 1 2 TA
## 2583 2583 535301150 1 2 Gd
## 2584 2584 535303050 1 2 TA
## 2585 2585 535304020 1 2 TA
## 2586 2586 535305120 1 2 Gd
## 2587 2587 535325130 1 2 TA
## 2588 2588 535325340 1 2 TA
## 2589 2589 535325350 1 2 TA
## 2590 2590 535325450 1 2 TA
## 2591 2591 535325460 1 2 TA
## 2592 2592 535327210 1 2 TA
## 2593 2593 535353180 2 3 TA
## 2594 2594 535354130 1 2 TA
## 2595 2595 535355100 2 3 TA
## 2596 2596 535375040 1 2 Gd
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## 2599 2599 535377070 1 2 TA
## 2600 2600 535377100 1 2 Fa
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## 2605 2605 535382020 2 3 TA
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## 2609 2609 535402100 1 2 TA
## 2610 2610 535402220 1 2 Gd
## 2611 2611 535402230 1 2 TA
## 2612 2612 535403040 1 2 TA
## 2613 2613 535403150 1 2 TA
## 2614 2614 535403200 1 2 Gd
## 2615 2615 535404080 1 2 TA
## 2616 2616 535425040 2 3 TA
## 2617 2617 535425050 2 3 Gd
## 2618 2618 535425080 3 4 TA
## 2619 2619 535426195 1 2 TA
## 2620 2620 535450100 1 2 Gd
## 2621 2621 535450180 1 2 TA
## 2622 2622 535451190 1 2 TA
## 2623 2623 535451210 1 2 TA
## 2624 2624 535453160 1 2 TA
## 2625 2625 535454030 2 3 TA
## 2626 2626 535454050 2 3 TA
## 2627 2627 535454060 2 3 TA
## 2628 2628 535456010 2 3 TA
## 2629 2629 535456020 1 2 TA
## 2630 2630 535457070 1 2 TA
## 2631 2631 535477060 1 2 TA
## 2632 2632 535478010 1 2 TA
## 2633 2633 535478070 1 2 TA
## 2634 2634 535478090 1 2 TA
## 2635 2635 535478110 1 2 TA
## 2636 2636 902100110 2 3 TA
## 2637 2637 902100130 1 2 TA
## 2638 2638 902101050 1 2 TA
## 2639 2639 902103090 1 2 Fa
## 2640 2640 902104020 1 2 Gd
## 2641 2641 902106040 1 2 Ex
## 2642 2642 902106090 1 2 TA
## 2643 2643 902108060 1 2 Gd
## 2644 2644 902109010 1 2 Gd
## 2645 2645 902110120 2 3 Fa
## 2646 2646 902110130 1 2 TA
## 2647 2647 902111010 1 2 TA
## 2648 2648 902125020 1 2 Ex
## 2649 2649 902128020 1 2 TA
## 2650 2650 902128100 1 2 TA
## 2651 2651 902134060 1 2 TA
## 2652 2652 902204060 1 2 TA
## 2653 2653 902204120 1 2 Gd
## 2654 2654 902206020 1 2 TA
## 2655 2655 902206090 1 2 TA
## 2656 2656 902207080 1 2 TA
## 2657 2657 902207110 1 2 Fa
## 2658 2658 902301120 2 3 Fa
## 2659 2659 902305090 2 3 TA
## 2660 2660 902325050 1 2 TA
## 2661 2661 902325100 2 3 TA
## 2662 2662 902325160 1 2 TA
## 2663 2663 902328100 1 2 TA
## 2664 2664 902329070 1 2 TA
## 2665 2665 902329090 1 2 Gd
## 2666 2666 902400090 1 2 TA
## 2667 2667 902400110 2 3 Ex
## 2668 2668 902401090 2 3 TA
## 2669 2669 902406030 1 2 TA
## 2670 2670 902456015 1 2 Fa
## 2671 2671 903200050 1 2 TA
## 2672 2672 903202120 1 2 Fa
## 2673 2673 903206160 1 2 TA
## 2674 2674 903225090 2 3 TA
## 2675 2675 903229040 1 2 TA
## 2676 2676 903231070 1 2 TA
## 2677 2677 903231190 1 2 TA
## 2678 2678 903231220 1 2 TA
## 2679 2679 903231240 1 2 TA
## 2680 2680 903232170 1 2 TA
## 2681 2681 903233100 1 2 TA
## 2682 2682 903233220 1 2 Gd
## 2683 2683 903234030 1 2 Gd
## 2684 2684 903235020 1 2 TA
## 2685 2685 903236200 1 2 TA
## 2686 2686 903400030 1 2 TA
## 2687 2687 903425190 2 3 TA
## 2688 2688 903425340 1 2 TA
## 2689 2689 903430090 1 2 Gd
## 2690 2690 903430130 1 2 Fa
## 2691 2691 903451050 2 3 Fa
## 2692 2692 903452090 1 2 TA
## 2693 2693 903454020 1 2 Gd
## 2694 2694 903454080 2 3 TA
## 2695 2695 903455090 1 2 Gd
## 2696 2696 903456060 1 2 TA
## 2697 2697 903456090 1 2 TA
## 2698 2698 903458010 1 2 TA
## 2699 2699 904100030 1 2 TA
## 2700 2700 904100090 2 3 TA
## 2701 2701 904100170 1 2 TA
## 2702 2702 904101040 1 2 Gd
## 2703 2703 904301410 1 2 TA
## 2704 2704 904302020 1 2 TA
## 2705 2705 904302030 2 3 TA
## 2706 2706 905100030 1 2 TA
## 2707 2707 905101330 2 3 TA
## 2708 2708 905101450 1 2 TA
## 2709 2709 905103130 1 2 TA
## 2710 2710 905103140 1 2 TA
## 2711 2711 905103180 1 2 TA
## 2712 2712 905105010 1 2 TA
## 2713 2713 905106210 1 2 TA
## 2714 2714 905107070 1 2 TA
## 2715 2715 905107220 1 2 TA
## 2716 2716 905107240 2 3 TA
## 2717 2717 905107300 1 2 TA
## 2718 2718 905108090 2 3 TA
## 2719 2719 905108120 2 3 TA
## 2720 2720 905200280 2 3 Gd
## 2721 2721 905200290 2 3 TA
## 2722 2722 905200340 1 2 TA
## 2723 2723 905200380 1 2 Fa
## 2724 2724 905200490 0 1 TA
## 2725 2725 905201090 1 2 TA
## 2726 2726 905202190 1 2 TA
## 2727 2727 905202210 1 2 TA
## 2728 2728 905225080 2 3 TA
## 2729 2729 905300010 1 2 TA
## 2730 2730 905300080 1 2 TA
## 2731 2731 905351045 2 3 Gd
## 2732 2732 905351150 1 2 Gd
## 2733 2733 905402110 1 2 TA
## 2734 2734 905403050 1 2 TA
## 2735 2735 905426100 3 4 Ex
## 2736 2736 905426150 2 3 Gd
## 2737 2737 905427010 2 3 TA
## 2738 2738 905427030 3 4 Gd
## 2739 2739 905427140 2 3 TA
## 2740 2740 905451050 1 2 TA
## 2741 2741 905451410 1 2 Gd
## 2742 2742 905452140 2 3 TA
## 2743 2743 905452150 1 2 TA
## 2744 2744 905475150 1 2 TA
## 2745 2745 905477010 1 2 TA
## 2746 2746 905480160 1 2 TA
## 2747 2747 906202040 2 3 Gd
## 2748 2748 906204180 2 3 Ex
## 2749 2749 906223180 2 3 Gd
## 2750 2750 906225180 2 3 Gd
## 2751 2751 906380110 2 3 Gd
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## 2759 2759 906392100 2 3 Gd
## 2760 2760 906392120 2 3 Ex
## 2761 2761 906394010 2 3 Gd
## 2762 2762 906394040 2 3 Gd
## 2763 2763 906394060 2 3 Gd
## 2764 2764 906420020 2 3 Gd
## 2765 2765 906426090 2 3 TA
## 2766 2766 906475050 1 2 TA
## 2767 2767 906475200 2 3 Gd
## 2768 2768 906476140 2 3 TA
## 2769 2769 907125020 1 2 TA
## 2770 2770 907125080 1 2 TA
## 2771 2771 907130110 2 3 Gd
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## 2773 2773 907135230 1 2 TA
## 2774 2774 907175030 2 3 Gd
## 2775 2775 907175060 2 3 Gd
## 2776 2776 907180120 2 3 Gd
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## 2779 2779 907192010 2 3 Gd
## 2780 2780 907194130 2 3 Gd
## 2781 2781 907196020 2 3 Gd
## 2782 2782 907200170 1 2 TA
## 2783 2783 907201160 1 2 TA
## 2784 2784 907201230 2 3 TA
## 2785 2785 907202140 1 2 TA
## 2786 2786 907203010 1 2 TA
## 2787 2787 907203040 1 2 TA
## 2788 2788 907227090 1 2 TA
## 2789 2789 907230240 2 3 TA
## 2790 2790 907251100 2 3 Gd
## 2791 2791 907252050 2 3 Gd
## 2792 2792 907254050 2 3 TA
## 2793 2793 907255010 1 2 Gd
## 2794 2794 907255050 2 3 Gd
## 2795 2795 907262080 2 3 Gd
## 2796 2796 907265030 2 3 Gd
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## 2798 2798 907275030 2 3 Gd
## 2799 2799 907285010 2 3 Gd
## 2800 2800 907285100 2 3 Gd
## 2801 2801 907290020 2 3 Gd
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## 2803 2803 907290160 1 2 Gd
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## 2805 2805 907290260 2 3 Gd
## 2806 2806 907401050 2 3 Gd
## 2807 2807 907401080 2 3 Gd
## 2808 2808 907405030 2 3 Gd
## 2809 2809 907410040 2 3 Gd
## 2810 2810 907410100 2 3 Gd
## 2811 2811 907410110 2 3 Gd
## 2812 2812 907412010 2 3 Gd
## 2813 2813 907414040 2 3 Gd
## 2814 2814 907418020 2 3 Gd
## 2815 2815 907420070 2 3 Gd
## 2816 2816 907420090 2 3 Gd
## 2817 2817 908102020 2 3 TA
## 2818 2818 908102320 1 2 Fa
## 2819 2819 908102330 1 2 TA
## 2820 2820 908103310 2 3 TA
## 2821 2821 908103320 2 3 TA
## 2822 2822 908127050 1 2 TA
## 2823 2823 908128100 2 3 Gd
## 2824 2824 908130020 1 2 Gd
## 2825 2825 908178050 2 3 Gd
## 2826 2826 908186060 1 2 TA
## 2827 2827 908186070 2 3 TA
## 2828 2828 908186090 1 2 TA
## 2829 2829 908188110 2 3 Gd
## 2830 2830 908188120 2 3 Gd
## 2831 2831 908188130 2 3 Gd
## 2832 2832 908188140 2 3 Gd
## 2833 2833 908188150 2 3 Gd
## 2834 2834 908225180 1 2 TA
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## 2836 2836 908227030 1 2 TA
## 2837 2837 908227040 1 2 TA
## 2838 2838 908228040 1 2 TA
## 2839 2839 908275220 1 2 TA
## 2840 2840 908275290 2 3 TA
## 2841 2841 909101050 1 2 Fa
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## 2845 2845 909103020 1 2 Gd
## 2846 2846 909131125 2 3 TA
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## 2850 2850 909250070 1 2 Gd
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## 2865 2865 909281010 2 3 TA
## 2866 2866 909282060 1 2 Gd
## 2867 2867 909282110 1 2 TA
## 2868 2868 909425120 1 2 Ex
## 2869 2869 909425180 2 3 Gd
## 2870 2870 909426060 2 3 TA
## 2871 2871 909428110 1 2 TA
## 2872 2872 909475020 2 3 Gd
## 2873 2873 910200020 1 2 TA
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## 2875 2875 910203100 1 2 TA
## 2876 2876 910203230 1 2 Fa
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## 2878 2878 910226060 2 3 Gd
## 2879 2879 911175360 1 2 TA
## 2880 2880 911175410 1 2 TA
## 2881 2881 911175430 0 1 TA
## 2882 2882 911175440 2 3 TA
## 2883 2883 911225110 1 2 TA
## 2884 2884 911370430 2 3 Ex
## 2885 2885 911370530 2 3 Gd
## 2886 2886 913350030 2 3 Fa
## 2887 2887 914452060 2 3 TA
## 2888 2888 914474020 2 3 Gd
## 2889 2889 914476050 1 2 TA
## 2890 2890 914476130 2 3 TA
## 2891 2891 914476500 3 4 TA
## 2892 2892 916225130 2 3 Gd
## 2893 2893 916252170 2 3 Gd
## 2894 2894 916325040 1 2 TA
## 2895 2895 916326010 2 3 TA
## 2896 2896 916402125 2 3 Gd
## 2897 2897 916403020 2 3 TA
## 2898 2898 916403130 2 3 TA
## 2899 2899 916460070 2 3 Gd
## 2900 2900 916475100 2 3 Gd
## 2901 2901 916477010 2 3 Gd
## 2902 2902 921205030 2 3 Gd
## 2903 2903 921205050 2 3 Ex
## 2904 2904 923125030 1 2 TA
## 2905 2905 923202025 2 3 TA
## 2906 2906 923203090 2 3 TA
## 2907 2907 923203100 2 3 TA
## 2908 2908 923205120 1 2 TA
## 2909 2909 923225190 1 2 TA
## 2910 2910 923225240 2 3 TA
## 2911 2911 923225260 2 3 TA
## 2912 2912 923225510 1 2 TA
## 2913 2913 923226150 2 3 TA
## 2914 2914 923226180 1 2 TA
## 2915 2915 923226290 1 2 TA
## 2916 2916 923227100 1 2 TA
## 2917 2917 923228130 1 2 Ex
## 2918 2918 923228180 1 2 TA
## 2919 2919 923228210 1 2 TA
## 2920 2920 923228260 1 2 TA
## 2921 2921 923228310 1 2 TA
## 2922 2922 923229110 2 3 TA
## 2923 2923 923230040 2 3 TA
## 2924 2924 923250060 2 3 TA
## 2925 2925 923251180 1 2 TA
## 2926 2926 923275080 1 2 TA
## 2927 2927 923276100 1 2 TA
## 2928 2928 923400125 1 2 TA
## 2929 2929 924100070 1 2 TA
## 2930 2930 924151050 2 3 TA
## Kitchen.Qual PreReno.BsmtFin.Type.1 BsmtFin.Type.1 PreReno.BsmtFin.SF.1
## 1 Gd BLQ BLQ 639
## 2 Gd Rec BLQ 468
## 3 Ex ALQ BLQ 923
## 4 Ex ALQ BLQ 1065
## 5 Gd GLQ BLQ 791
## 6 Ex GLQ BLQ 602
## 7 Ex GLQ BLQ 616
## 8 Ex ALQ BLQ 263
## 9 Ex GLQ BLQ 1180
## 10 Ex Unf BLQ 0
## 11 Gd Unf BLQ 0
## 12 Gd ALQ BLQ 935
## 13 Gd Unf BLQ 0
## 14 Ex GLQ BLQ 637
## 15 Ex GLQ BLQ 368
## 16 Ex ALQ BLQ 1416
## 17 Gd GLQ BLQ 427
## 18 Ex GLQ BLQ 1445
## 19 Gd LwQ BLQ 120
## 20 Gd ALQ BLQ 790
## 21 Gd BLQ BLQ 705
## 22 Ex GLQ BLQ 885
## 23 Ex GLQ BLQ 533
## 24 Gd ALQ BLQ 578
## 25 Gd GLQ BLQ 734
## 26 Gd BLQ BLQ 775
## 27 Gd ALQ BLQ 804
## 28 Gd ALQ BLQ 432
## 29 Ex GLQ BLQ 1051
## 30 Gd Rec BLQ 156
## 31 Gd Rec BLQ 300
## 32 Gd Unf BLQ 0
## 33 Gd ALQ BLQ 360
## 34 Ex ALQ BLQ 514
## 35 Gd Unf BLQ 0
## 36 Gd ALQ BLQ 311
## 37 Ex Unf BLQ 0
## 38 Ex GLQ BLQ 1218
## 39 Ex GLQ BLQ 1646
## 40 Ex Unf BLQ 0
## 41 Ex BLQ BLQ 1201
## 42 Ex GLQ BLQ 110
## 43 Ex GLQ BLQ 28
## 44 Ex GLQ BLQ 2
## 45 Ex GLQ BLQ 2188
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## 2890 Gd GLQ BLQ 576
## 2891 Gd Unf BLQ 0
## 2892 Ex GLQ BLQ 965
## 2893 Ex DNE DNE 0
## 2894 Gd BLQ BLQ 909
## 2895 Gd Unf BLQ 0
## 2896 Ex GLQ BLQ 980
## 2897 Gd ALQ BLQ 1053
## 2898 Gd LwQ BLQ 1216
## 2899 Ex GLQ BLQ 1136
## 2900 Ex GLQ BLQ 1274
## 2901 Ex GLQ BLQ 1350
## 2902 Ex GLQ BLQ 1460
## 2903 Ex GLQ BLQ 1455
## 2904 Gd DNE DNE 0
## 2905 Gd GLQ BLQ 1243
## 2906 Gd GLQ BLQ 897
## 2907 Gd GLQ BLQ 1201
## 2908 Gd Unf BLQ 0
## 2909 Gd Unf BLQ 0
## 2910 Gd ALQ BLQ 548
## 2911 Gd ALQ BLQ 837
## 2912 Gd ALQ BLQ 441
## 2913 Gd BLQ BLQ 149
## 2914 Gd GLQ BLQ 522
## 2915 Gd Rec BLQ 252
## 2916 Gd Rec BLQ 119
## 2917 Ex GLQ BLQ 553
## 2918 Gd Rec BLQ 408
## 2919 Gd Unf BLQ 0
## 2920 Gd Unf BLQ 0
## 2921 Gd Rec BLQ 252
## 2922 Gd Rec BLQ 936
## 2923 Gd ALQ BLQ 1606
## 2924 Gd ALQ BLQ 936
## 2925 Gd ALQ BLQ 1224
## 2926 Gd GLQ BLQ 819
## 2927 Gd BLQ BLQ 301
## 2928 Gd GLQ BLQ 337
## 2929 Gd ALQ BLQ 1071
## 2930 Gd LwQ BLQ 758
## BsmtFin.SF.1 Exter.Cond Year.Remod.Add SalePrice Reno.Cost
## 1 1080 Gd 2010 215000 34864
## 2 738 Gd 2010 105000 34864
## 3 1329 Gd 2010 172000 34864
## 4 2110 Gd 2010 244000 22307
## 5 928 Gd 2010 189900 34864
## 6 926 Gd 2010 195500 34864
## 7 1338 Gd 2010 213500 34864
## 8 1280 Gd 2010 191500 34864
## 9 1595 Gd 2010 236500 34864
## 10 994 Gd 2010 189000 34864
## 11 763 Gd 2010 175900 34864
## 12 1168 Ex 2010 185000 34864
## 13 789 Gd 2010 180400 34864
## 14 1300 Gd 2010 171500 34864
## 15 368 Gd 2010 212000 34864
## 16 1650 Gd 2010 538000 22307
## 17 559 Gd 2010 164000 34864
## 18 1856 Gd 2010 394432 22307
## 19 864 Gd 2010 141000 34864
## 20 1379 Gd 2010 210000 34864
## 21 1844 Gd 2010 190000 34864
## 22 885 Gd 2010 170000 34864
## 23 814 Gd 2010 216000 34864
## 24 1004 Gd 2010 149000 34864
## 25 1078 Gd 2010 149900 34864
## 26 1056 Gd 2010 142000 34864
## 27 804 Gd 2010 126000 34864
## 28 864 Gd 2010 115000 34864
## 29 1405 Gd 2010 184000 34864
## 30 483 Gd 2010 96000 34864
## 31 525 Gd 2010 105500 34864
## 32 525 Gd 2010 88000 34864
## 33 1069 Gd 2010 127500 34864
## 34 855 Gd 2010 149900 34864
## 35 836 Gd 2010 120000 34864
## 36 855 Gd 2010 146000 34864
## 37 1590 Gd 2010 376162 22307
## 38 1704 Gd 2010 306000 34864
## 39 1930 Gd 2010 395192 22307
## 40 1544 Gd 2010 290941 34864
## 41 1541 Gd 2010 220000 34864
## 42 1698 Gd 2010 275000 22307
## 43 1822 Gd 2010 259000 22307
## 44 1517 Gd 2010 214000 34864
## 45 2330 Gd 2010 611657 22307
## 46 1358 Gd 2010 224000 34864
## 47 2846 Gd 2010 500000 22307
## 48 1671 Gd 2010 320000 34864
## 49 1752 Gd 2010 319900 22307
## 50 1370 Gd 2010 205000 34864
## 51 764 Gd 2010 175500 34864
## 52 1324 Gd 2010 199500 34864
## 53 1145 Gd 2010 160000 34864
## 54 1256 Gd 2010 192000 34864
## 55 384 Gd 2010 184500 34864
## 56 860 Gd 2010 216500 34864
## 57 847 Gd 2010 185088 34864
## 58 384 Gd 2010 180000 34864
## 59 884 Gd 2010 222500 34864
## 60 1393 Gd 2010 333168 34864
## 61 1629 Gd 2010 355000 34864
## 62 1720 Gd 2010 260400 34864
## 63 1463 Gd 2010 325000 34864
## 64 1152 Gd 2010 290000 34864
## 65 1195 Gd 2010 221000 34864
## 66 2033 Gd 2010 410000 34864
## 67 1595 Gd 2010 221500 34864
## 68 1218 Gd 2010 204500 34864
## 69 756 Gd 2010 215200 34864
## 70 1566 Gd 2010 262500 34864
## 71 991 Gd 2010 254900 34864
## 72 1468 Gd 2010 271500 34864
## 73 956 Gd 2010 233000 34864
## 74 831 Gd 2010 181000 34864
## 75 948 Gd 2010 205000 34864
## 76 804 Gd 2010 143000 34864
## 77 1055 Gd 2010 189000 34864
## 78 918 Gd 2010 99500 34864
## 79 623 Gd 2010 125000 34864
## 80 996 Gd 2010 194500 34864
## 81 1040 Gd 2010 152000 34864
## 82 650 Gd 2010 171000 34864
## 83 816 TA 2010 67500 34864
## 84 0 Gd 2010 112000 23614
## 85 1109 Gd 2010 148000 34864
## 86 777 Ex 2010 138500 34864
## 87 882 Ex 2010 122000 34864
## 88 1040 Gd 2010 133000 34864
## 89 1040 Ex 2010 127000 34864
## 90 349 Ex 2010 169000 34864
## 91 750 Gd 2010 190000 34864
## 92 250 Gd 2010 362500 34864
## 93 1390 Gd 2010 285000 34864
## 94 1488 Gd 2010 260000 34864
## 95 840 Gd 2010 190000 34864
## 96 600 Gd 2010 155000 34864
## 97 600 Gd 2010 151000 34864
## 98 558 Gd 2010 149500 34864
## 99 600 Gd 2010 152000 34864
## 100 1470 Gd 2010 222000 34864
## 101 756 Gd 2010 177500 34864
## 102 756 Gd 2010 177000 34864
## 103 696 Gd 2010 155000 34864
## 104 530 Gd 2010 147110 34864
## 105 1642 Gd 2010 267916 34864
## 106 975 Gd 2010 254000 34864
## 107 728 Gd 2010 155000 34864
## 108 1226 Gd 2010 206000 34864
## 109 725 Gd 2010 130500 34864
## 110 1492 Gd 2010 230000 34864
## 111 1829 Gd 2010 218500 34864
## 112 1280 Gd 2010 243500 34864
## 113 1610 Gd 2010 205000 34864
## 114 1178 Gd 2010 212500 34864
## 115 980 Gd 2010 196500 34864
## 116 1161 Gd 2010 197500 34864
## 117 715 Gd 2010 171000 34864
## 118 1232 Gd 2010 142250 34864
## 119 1247 Gd 2010 143000 34864
## 120 950 Gd 2010 128950 34864
## 121 1209 Gd 2010 159000 34864
## 122 1510 Gd 2010 178900 34864
## 123 533 Gd 2010 136300 34864
## 124 1152 Gd 2010 180500 34864
## 125 936 Ex 2010 137500 34864
## 126 1728 Gd 2010 84900 34864
## 127 49 Gd 2010 142125 34864
## 128 1140 Gd 2010 197600 34864
## 129 782 Ex 2010 172500 34864
## 130 858 Ex 2010 116500 34864
## 131 728 Fa 2010 76500 34864
## 132 766 Gd 2010 128000 34864
## 133 1024 Gd 2010 153000 34864
## 134 1268 Gd 2010 132000 34864
## 135 1080 Gd 2010 178000 34864
## 136 1105 Gd 2010 154300 34864
## 137 1947 Gd 2010 180000 34864
## 138 804 Gd 2010 190000 34864
## 139 1604 Gd 2010 135000 34864
## 140 1480 Gd 2010 214000 34864
## 141 981 Gd 2010 136000 34864
## 142 1398 Gd 2010 165500 34864
## 143 1314 Ex 2010 145000 34864
## 144 1194 Gd 2010 148000 34864
## 145 1188 Gd 2010 142000 34864
## 146 1268 Gd 2010 167500 34864
## 147 1206 Gd 2010 108538 34864
## 148 1244 Gd 2010 159500 34864
## 149 832 Gd 2010 108000 34864
## 150 864 Gd 2010 135000 34864
## 151 972 Ex 2010 122500 34864
## 152 988 Gd 2010 119000 34864
## 153 1057 Ex 2010 109000 34864
## 154 576 Gd 2010 105000 34864
## 155 0 Gd 2010 107500 23614
## 156 724 Gd 2010 144900 34864
## 157 696 Gd 2010 129000 34864
## 158 912 Gd 2010 97500 34864
## 159 1056 Gd 2010 144000 34864
## 160 805 Ex 2010 162000 34864
## 161 710 Ex 2010 242000 34864
## 162 642 Gd 2010 132000 34864
## 163 340 Gd 2010 154000 34864
## 164 910 TA 2010 166000 34864
## 165 414 Gd 2010 134800 34864
## 166 1116 Gd 2010 160000 34864
## 167 825 Gd 2010 148000 34864
## 168 1132 Gd 2010 192000 34864
## 169 756 Gd 2010 155000 34864
## 170 709 Gd 2010 80400 34864
## 171 576 Gd 2010 96500 34864
## 172 936 Gd 2010 109500 34864
## 173 1008 Gd 2010 115000 34864
## 174 274 Gd 2010 143000 34864
## 175 840 Ex 2010 107400 34864
## 176 747 Ex 2010 80000 34864
## 177 788 Ex 2010 119000 34864
## 178 234 Gd 2010 130000 34864
## 179 827 Gd 2010 119000 34864
## 180 1027 Ex 2010 129000 34864
## 181 1008 Gd 2010 100000 34864
## 182 678 TA 2010 12789 34864
## 183 624 Ex 2010 105900 34864
## 184 930 Ex 2010 150000 34864
## 185 686 Ex 2010 139000 34864
## 186 346 Ex 2010 240000 34864
## 187 840 TA 2010 76500 34864
## 188 912 Gd 2010 149700 34864
## 189 622 Gd 2010 125500 34864
## 190 777 Gd 2010 122500 34864
## 191 738 Gd 2010 140750 34864
## 192 988 Ex 2010 128500 34864
## 193 1108 Gd 2010 209500 34864
## 194 765 Gd 2010 87000 34864
## 195 596 Gd 2010 134000 34864
## 196 572 Ex 2010 128000 34864
## 197 676 Gd 2010 132000 34864
## 198 780 Gd 2010 139900 34864
## 199 528 Gd 2010 123900 34864
## 200 928 Gd 2010 138400 34864
## 201 1124 Gd 2010 109500 34864
## 202 576 Gd 2010 140000 34864
## 203 888 TA 2010 149500 34864
## 204 780 Ex 2010 159900 34864
## 205 662 Ex 2010 122000 34864
## 206 104 Gd 2010 110000 34864
## 207 0 TA 2010 55000 23614
## 208 360 Ex 2010 140000 34864
## 209 1032 Ex 2010 244400 34864
## 210 1422 Gd 2010 173000 34864
## 211 689 Gd 2010 107500 34864
## 212 1212 TA 2010 100000 34864
## 213 600 Gd 2010 95000 34864
## 214 707 Gd 2010 93369 34864
## 215 856 Ex 2010 114900 34864
## 216 780 Ex 2010 94000 34864
## 217 1832 TA 2010 136000 34864
## 218 1768 Gd 2010 136500 34864
## 219 1039 Gd 2010 131500 34864
## 220 1392 Gd 2010 121500 34864
## 221 912 Gd 2010 125000 34864
## 222 392 Ex 2010 154000 34864
## 223 390 Gd 2010 137900 34864
## 224 663 Gd 2010 158000 34864
## 225 864 Gd 2010 137250 34864
## 226 1319 Gd 2010 160250 34864
## 227 267 Ex 2010 163000 34864
## 228 672 Gd 2010 158900 34864
## 229 1306 Gd 2010 328000 34864
## 230 1420 Ex 2010 270000 34864
## 231 660 Gd 2010 85000 34864
## 232 1067 Gd 2010 128000 34864
## 233 1332 Gd 2010 260000 34864
## 234 1117 Gd 2010 230000 34864
## 235 288 Gd 2010 124000 34864
## 236 458 Gd 2010 83000 34864
## 237 276 Gd 2010 144500 34864
## 238 1144 Gd 2010 129000 34864
## 239 756 Gd 2010 127000 34864
## 240 1172 Gd 2010 128000 34864
## 241 1212 Gd 2010 186000 34864
## 242 1508 Gd 2010 308030 34864
## 243 1250 TA 2010 114000 34864
## 244 0 Gd 2010 84900 23614
## 245 741 Gd 2010 178000 34864
## 246 1433 Gd 2010 270000 34864
## 247 946 Ex 2010 218000 34864
## 248 1050 Gd 2010 236000 34864
## 249 936 Gd 2010 147000 34864
## 250 1694 Gd 2010 245350 34864
## 251 1187 Gd 2010 206000 34864
## 252 1226 Gd 2010 198900 34864
## 253 1222 Gd 2010 187000 34864
## 254 1673 Gd 2010 320000 34864
## 255 676 Gd 2010 138500 34864
## 256 1010 Gd 2010 155000 34864
## 257 870 Ex 2010 159000 34864
## 258 878 Gd 2010 191000 34864
## 259 804 Gd 2010 200500 34864
## 260 338 Ex 2010 150000 34864
## 261 689 Gd 2010 161750 34864
## 262 182 Gd 2010 128200 34864
## 263 876 Gd 2010 127000 34864
## 264 1978 Gd 2010 318000 34864
## 265 1581 Gd 2010 272000 34864
## 266 941 Gd 2010 237000 34864
## 267 1040 Gd 2010 240000 34864
## 268 1649 Gd 2010 224900 34864
## 269 848 Gd 2010 143750 34864
## 270 848 Gd 2010 143000 34864
## 271 685 Gd 2010 232000 34864
## 272 1473 Gd 2010 213000 34864
## 273 1414 Gd 2010 185500 34864
## 274 0 Ex 2010 84900 23614
## 275 381 Ex 2010 155891 34864
## 276 0 Gd 2010 100000 23614
## 277 1196 Gd 2010 144000 34864
## 278 744 Gd 2010 64000 34864
## 279 1008 Gd 2010 125200 34864
## 280 902 Gd 2010 107000 34864
## 281 960 Gd 2010 90000 34864
## 282 1121 Gd 2010 140000 34864
## 283 735 Gd 2010 113000 34864
## 284 672 TA 2010 80000 34864
## 285 1216 Gd 2010 144500 34864
## 286 1107 Gd 2010 104000 34864
## 287 806 Gd 2010 128000 34864
## 288 864 TA 2010 58500 34864
## 289 1026 Gd 2010 127000 34864
## 290 856 Gd 2010 126000 34864
## 291 0 Gd 2010 160000 23614
## 292 894 Gd 2010 100000 34864
## 293 804 Gd 2010 169000 34864
## 294 1276 Ex 2010 257500 34864
## 295 1032 Ex 2010 215000 34864
## 296 1152 Ex 2010 266500 34864
## 297 1902 Ex 2010 335000 22307
## 298 423 Gd 2010 203135 34864
## 299 982 Gd 2010 185000 34864
## 300 1191 Gd 2010 162500 34864
## 301 1501 Gd 2010 289000 34864
## 302 796 Ex 2010 125500 34864
## 303 480 Gd 2010 82000 34864
## 304 629 Gd 2010 110000 34864
## 305 698 Ex 2010 68400 34864
## 306 859 Gd 2010 102776 34864
## 307 540 Gd 2010 55993 34864
## 308 756 TA 2010 50138 34864
## 309 1594 Gd 2010 246000 34864
## 310 1049 Gd 2010 254900 34864
## 311 1243 Gd 2010 190000 34864
## 312 1560 Gd 2010 201000 34864
## 313 1012 Gd 2010 169900 34864
## 314 1958 Gd 2010 170000 34864
## 315 413 Gd 2010 160000 34864
## 316 1336 Gd 2010 220000 34864
## 317 1214 Gd 2010 179781 34864
## 318 384 Gd 2010 174000 34864
## 319 774 Gd 2010 269500 22307
## 320 817 Gd 2010 214900 34864
## 321 967 Gd 2010 202900 34864
## 322 2002 Gd 2010 378500 22307
## 323 1068 Gd 2010 169000 34864
## 324 1430 Gd 2010 173500 34864
## 325 912 Gd 2010 139000 34864
## 326 1344 Gd 2010 166500 34864
## 327 546 Gd 2010 83500 34864
## 328 945 Gd 2010 119500 34864
## 329 304 Gd 2010 85000 34864
## 330 546 Gd 2010 76000 34864
## 331 150 Gd 2010 75500 34864
## 332 546 Gd 2010 88250 34864
## 333 546 Gd 2010 85500 34864
## 334 864 Ex 2010 130000 34864
## 335 1188 Gd 2010 157900 34864
## 336 243 Gd 2010 149900 34864
## 337 1216 Fa 2010 159000 34864
## 338 624 Gd 2010 136000 34864
## 339 864 Gd 2010 161000 34864
## 340 1395 Ex 2010 285000 34864
## 341 1152 Ex 2010 231000 34864
## 342 882 Gd 2010 124500 34864
## 343 1434 Gd 2010 157000 34864
## 344 1952 Gd 2010 345000 22307
## 345 945 Gd 2010 189500 34864
## 346 1008 Gd 2010 270000 34864
## 347 384 Gd 2010 189000 34864
## 348 1746 Gd 2010 377500 22307
## 349 384 Gd 2010 168500 34864
## 350 2208 Gd 2010 375000 34864
## 351 1501 Gd 2010 278000 22307
## 352 1418 Gd 2010 240000 34864
## 353 1587 Gd 2010 239500 34864
## 354 384 Gd 2010 177500 34864
## 355 832 Gd 2010 185000 34864
## 356 952 Gd 2010 191000 34864
## 357 799 Gd 2010 178000 34864
## 358 680 Ex 2010 185000 34864
## 359 707 Gd 2010 181316 34864
## 360 1181 Gd 2010 166000 34864
## 361 808 Gd 2010 178000 34864
## 362 702 Gd 2010 174000 34864
## 363 1158 Gd 2010 173000 34864
## 364 978 Gd 2010 225000 34864
## 365 1424 Gd 2010 180500 34864
## 366 1220 Gd 2010 187500 34864
## 367 2216 Gd 2010 501837 22307
## 368 2046 Gd 2010 372500 34864
## 369 1530 Gd 2010 260000 34864
## 370 1122 Gd 2010 185000 34864
## 371 845 Gd 2010 260000 22307
## 372 1362 Ex 2010 181000 34864
## 373 1386 Ex 2010 82500 34864
## 374 1602 Gd 2010 215000 34864
## 375 832 Gd 2010 154000 34864
## 376 1427 Gd 2010 200000 34864
## 377 1043 Gd 2010 249000 34864
## 378 1372 Gd 2010 187500 34864
## 379 1140 Gd 2010 184000 34864
## 380 2524 Gd 2010 278000 34864
## 381 1271 Gd 2010 157000 34864
## 382 1090 Gd 2010 152000 34864
## 383 780 Ex 2010 197500 34864
## 384 926 Gd 2010 240900 22307
## 385 832 Gd 2010 263435 34864
## 386 1058 Gd 2010 220000 34864
## 387 696 Gd 2010 235000 34864
## 388 1453 Gd 2010 213000 34864
## 389 1116 Gd 2010 167900 34864
## 390 1176 Gd 2010 158000 34864
## 391 1064 Gd 2010 165000 34864
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## 394 1002 Gd 2010 148500 34864
## 395 554 Gd 2010 156000 34864
## 396 1180 Gd 2010 128000 34864
## 397 1043 Gd 2010 143000 34864
## 398 864 Gd 2010 76500 34864
## 399 625 Gd 2010 120500 34864
## 400 864 Ex 2010 124500 34864
## 401 684 Gd 2010 97000 34864
## 402 864 Ex 2010 130000 34864
## 403 483 Gd 2010 111000 34864
## 404 765 Gd 2010 125000 34864
## 405 630 Gd 2010 112000 34864
## 406 189 Gd 2010 97000 34864
## 407 483 Gd 2010 118000 34864
## 408 630 Gd 2010 119500 34864
## 409 958 Gd 2010 143750 34864
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## 412 435 Gd 2010 123000 34864
## 413 360 Gd 2010 147000 34864
## 414 855 Gd 2010 137900 34864
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## 416 855 Gd 2010 148500 34864
## 417 855 Gd 2010 138000 34864
## 418 836 Gd 2010 128500 34864
## 419 892 Gd 2010 100000 34864
## 420 864 Gd 2010 148800 34864
## 421 1700 Gd 2010 337500 22307
## 422 1776 Gd 2010 462000 22307
## 423 1926 Gd 2010 485000 22307
## 424 2555 Gd 2010 555000 22307
## 425 1652 Gd 2010 325000 22307
## 426 1566 Gd 2010 256300 34864
## 427 2042 Gd 2010 253293 22307
## 428 1365 Gd 2010 398800 22307
## 429 1104 Gd 2010 335000 22307
## 430 2020 Gd 2010 404000 22307
## 431 2006 Gd 2010 402861 22307
## 432 1722 Gd 2010 451950 22307
## 433 2630 Gd 2010 610000 22307
## 434 1734 Gd 2010 582933 22307
## 435 1736 Gd 2010 360000 22307
## 436 1782 Gd 2010 296000 34864
## 437 1508 Gd 2010 409900 22307
## 438 1709 Gd 2010 255500 34864
## 439 1739 Gd 2010 335000 22307
## 440 1713 Gd 2010 274900 22307
## 441 1504 Gd 2010 300000 22307
## 442 1774 Gd 2010 324000 22307
## 443 1462 Gd 2010 350000 22307
## 444 1836 Gd 2010 280000 34864
## 445 2727 Gd 2010 284000 34864
## 446 1760 Gd 2010 269500 34864
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## 448 2392 Gd 2010 386250 22307
## 449 2452 Gd 2010 445000 22307
## 450 1082 Gd 2010 290000 34864
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## 452 1358 Gd 2010 213000 34864
## 453 1306 Gd 2010 196000 34864
## 454 1306 Gd 2010 184500 34864
## 455 1350 Gd 2010 212500 34864
## 456 1314 Gd 2010 230000 34864
## 457 2492 Gd 2010 552000 22307
## 458 2200 Gd 2010 382500 22307
## 459 1884 Gd 2010 320000 22307
## 460 1451 Gd 2010 248500 22307
## 461 1712 Gd 2010 286500 34864
## 462 1324 Gd 2010 254000 34864
## 463 1405 Gd 2010 173000 34864
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## 465 728 Gd 2010 184000 34864
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## 467 742 Gd 2010 174000 34864
## 468 684 Gd 2010 174000 34864
## 469 1373 Gd 2010 174000 34864
## 470 1386 Gd 2010 175900 34864
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## 487 271 Gd 2010 167000 34864
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## 491 1177 Gd 2010 245000 34864
## 492 841 Gd 2010 181000 34864
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## 495 1252 Gd 2010 337000 34864
## 496 1462 Gd 2010 403000 22307
## 497 1455 Gd 2010 327000 34864
## 498 1284 Gd 2010 340000 34864
## 499 1225 Gd 2010 336000 34864
## 500 1264 Gd 2010 265000 34864
## 501 498 Gd 2010 315000 34864
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## 504 1173 Gd 2010 263550 34864
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## 510 1573 Gd 2010 287090 22307
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## 513 1113 Gd 2010 253000 34864
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## 515 900 Gd 2010 252678 34864
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## 546 1454 Gd 2010 189000 34864
## 547 452 Ex 2010 171500 34864
## 548 626 Gd 2010 120000 34864
## 549 1332 Gd 2010 145000 34864
## 550 158 Gd 2010 184000 34864
## 551 676 Ex 2010 162000 34864
## 552 0 Gd 2010 160000 23614
## 553 721 TA 2010 82000 34864
## 554 784 Gd 2010 76000 34864
## 555 96 Gd 2010 110000 34864
## 556 980 Gd 2010 135000 34864
## 557 864 Gd 2010 141000 34864
## 558 864 Gd 2010 122000 34864
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## 561 864 Gd 2010 131400 34864
## 562 553 Gd 2010 62383 34864
## 563 322 Gd 2010 123000 34864
## 564 1922 Ex 2010 275000 34864
## 565 759 Ex 2010 235000 34864
## 566 1376 Gd 2010 280750 34864
## 567 612 Gd 2010 164500 34864
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## 576 1226 Gd 2010 211500 34864
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## 579 1281 Gd 2010 150000 34864
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## 587 1680 Gd 2010 197900 34864
## 588 1141 Gd 2010 163000 34864
## 589 1216 Gd 2010 113000 34864
## 590 908 Ex 2010 230000 34864
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## 2893 0 Gd 2010 230000 23614
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## 2903 1838 Gd 2010 359900 22307
## 2904 0 TA 2010 81500 23614
## 2905 1288 Ex 2010 215000 34864
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## 2908 1140 Gd 2010 84500 34864
## 2909 264 Gd 2010 104500 34864
## 2910 584 Gd 2010 127000 34864
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## 2912 864 Gd 2010 126500 34864
## 2913 1652 Gd 2010 146500 34864
## 2914 630 Gd 2010 73000 34864
## 2915 546 Gd 2010 79400 34864
## 2916 760 Gd 2010 140000 34864
## 2917 630 Gd 2010 92000 22307
## 2918 546 Gd 2010 87550 34864
## 2919 546 Gd 2010 79500 34864
## 2920 546 Gd 2010 90500 34864
## 2921 546 Gd 2010 71000 34864
## 2922 1332 Gd 2010 150900 34864
## 2923 1728 Gd 2010 188000 34864
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## 2925 1224 Gd 2010 131000 34864
## 2926 1003 Gd 2010 142500 34864
## 2927 540 Gd 2010 131000 34864
## 2928 912 Gd 2010 132000 34864
## 2929 1266 Gd 2010 170000 34864
## 2930 996 Gd 2010 188000 34864
all.reno$cost_benefits[all.reno$cost_benefits$net >0 & all.reno$cost_benefits$remodeling_costs > 0,]
## # A tibble: 70 x 4
## orig_predicted_sale_price new_predicted_sale_price remodeling_costs net
## <dbl> <dbl> <dbl> <dbl>
## 1 457301. 486100. 22307 6493.
## 2 309658. 353779. 34864 9257.
## 3 278280. 325378. 34864 12234.
## 4 104053. 139344. 34864 427.
## 5 110205. 156893. 34864 11824.
## 6 141214. 180718. 34864 4641.
## 7 340789. 371265. 22307 8169.
## 8 221787. 257912. 34864 1262.
## 9 309397. 354439. 34864 10179.
## 10 411154. 445906. 22307 12445.
## # ... with 60 more rows
Some notes on recommended renovations: - In general, remodeling costs exceed marginal increases in sales price under our model (i.e., it’s not worth it). - Replacing the roof does not seem to be a good investment, as it does not result in predicted sales that justify the costs (because of the relatively small coefficient of the relevant predictors). - Realtors famously say the three most important factors in home purchasing are “location, location, and location”, which is not surprising based on these results. All of these renovations don’t change some of the underlying features of the neighborhood and site, which is why we see the value of renovations remaining pretty marginal.